This is a fresh new addition to the botanical list; comedian Gilbert Gottfried made it a real bouquet when he named his daughter Lily Aster. And the name of the little girl on television's Dexter sounds like Aster, but is actually spelled Astor, which brings it more high society name.
<->Aster relates to the Greek word for star.

In Ethiopia, Aster is pronounced "ah-STAIR", and is the Amharic variation of Biblical Esther.

Aster

Alyssum

Carlina

A botanical name belonging to a small yellow flower in the poppy family. The word ultimately derives from chelidon, the Ancient Greek for "swallow (bird)".
 Characters called Celandine feature in The Lord of the Rings and in the Touchstone trilogy by Steve Augarde.

Celandine

Clary

Calluna

Cydonia

In Greek mythology, Daphne was the nymph daughter of Peneus, a river god. Peneus saved Daphne from Apollo’s romantic obsessions by transforming her into a laurel tree. It is from this myth that the plant genus daphne, which contains the laurel species, gets its name.
 
Daphne's origins may be Greek, but it's seen by Americans as quintessentially British—as in the Daphne Moon character on Frasier and the heroine of the romantic drama Bridgerton. The shrub inspired the popularity of the name in England, where it became part of the British vogue for plant names at the end of the nineteenth century. 

Though we don't see it becoming a Top 100 name in the US, Daphne is obviously finding more widespread acceptance—and for a distinctive, deeply-rooted, attractive girls' name, that's a positive thing. In fact, Daphne has been in the US Top 1000 for every year but two -- 1913 and 1938. And it's now at its highest point ever in the US and is also one of the most popular girls' names on Nameberry.
 Its most famous bearer is Daphne du Maurier, author of such suspense novels as Rebecca. Fictional Daphnes have appeared in Some Like It Hot (Jack Lemmon as a woman), The Jewel in the Crown, Scooby-Doo, Harry Potter, and Heroes.

Daphne

Edelweiss, made famous by the Rogers and Hammerstein song in "The Sound of Music", is a rare female name. 

In German 'edel' means 'noble' and 'weiss' means 'white'. Edelweiss is the colloquial name for the Leontopodium alpinum, a small white mountain flower sometimes used in herbal folk medicine.

In this age, though, Edelweiss might make a better <a href="/list/589/white-cat-names">name for a white cat</a> than for a little girl.

Edelweiss

The straightforward Erica is a Norse feminization that was long associated with the complex, mega-popular character Erica Kane, played by Susan Lucci for decades on the soap opera All My Children. Used in Scandinavia since the early eighteenth century, where it was usually spelled Erika, it was in the Top 50 girls' list in the USA in the 1970s and eighties.
 It is worth noting that Erica is also a flower name, in which sense it is its own name, rather than a feminisation.
 The most prominent bearer of the name in recent times is novelist Erica Jong, author of the influential Fear of Flying.

Erica

Gentiana

This flower name was one of the most popular in her class in the seventies and eighties (in the 1989 movie Heathers, every snobby girl in the high school clique bore that name). Now, though still pretty and evocative of the Scottish moors, it has faded in favor of other purplish blooms, having fallen out of the Top 1000 after having been as high as Number 3 in 1975, when it was given to close to 25,000 girls.

Heather

Juniper is a fresh-feeling nature name -- it's a small evergreen shrub -- with lots of energy. A new favorite of fashionable parents, Juniper joins such other tree and shrub names as Hazel, Acacia, and Willow. 
 
Juniper has an interesting variety of associations -- it's mentioned in the Old Testament, was used in Renaissance paintings to represent chastity, has berries used to flavor gin, and Juniper is the Saint of Comedy. A male St. Juniper was a follower of St. Francis of Assisi. 
 Goodnight Moon and The Runaway Bunny author Margaret Wise Brown sometimes used the pen name of Juniper Sage. And in the Junie P. Jones kids' books, Junie's full name is Juniper Beatrice. There also have been Junipers is cartoon series (The Life and Times of Juniper Lee) and comic strips as well.
 
The name got something of a hippieish vibe via the 1969 hit Donovan song, 'Jennifer Juniper.'
 
Juniper entered the U.S. Top 1000 for the first time in 2011 and has risen to the Top 150.

Juniper

Your zany neighbor, the one who's a potter and has five cats. 

Malva

Nymphaea

A quaint and quirky flower name, until recently considered a bit too prim for most American classrooms but brought back to life in recent years by the attractive character of Primrose "Prim" Everdeen in the Hunger Games series. In the Top 300 girl names in England and Wales and on Nameberry, Primrose remains rare in the US, but is made more accessible by a raft of sweet nickname options, including Rosie and Posy.

 The flower name Primrose derives from Latin prima rosa, meaning "first rose", since primrose flowers are among the first to appear in early spring, heralding the coming of better weather. Primrose also has an alternative history as a Scottish surname deriving from the place name Penrhos, from the Welsh words pren "tree" and rhos "moor." The spelling was later altered due to association with the flower.

 In the H. E. Bates book and 90's British TV series, The Darling Buds of May, there is a character named Primrose Violet Anemone Iris Magnolia Narcissa Larkin, who has twin sisters named Zinnia and Petunia.

Primrose

'Q' names are hot, and this is an intriguing fruit name that could be used for a girl or boy.  The quince often appears in Greek myth, in tales of Aphrodite, Paris and Atalanta.  Can also be a nickname for Quincy.

Quince

Despite appearances, Rosemary is not a "smoosh" name, not even a traditional one. The name derives from two Latin terms "Ros" meaning ‘dew’ and "Marinus" "meaning "of the sea". The plant was termed ‘dew of the sea’ due to its salty texture and its ability to thrive in coastal climes. Only after the Middle Ages did the English names of Rose and Mary become interchanged with the name Rosmarinus and give us the modern name we use today.
 In ancient legend, Rosemary was draped around Aphrodite when she rose from the sea. It was regarded then as beneficial in strengthening the memory and became a symbol for faithful lovers. In Hamlet, Ophelia says "There's Rosemary, that's for remembrance; pray, love, remember."
 The name was long associated with George Clooney's aunt, the great pop singer Rosemary; less pleasant associations are with the 1967 movie Rosemary's Baby.
 A common variation is Rosemarie; many parents are now looking to the stand-alone nickname Romy.

Rosemary

Sage is an evocatively fragrant herbal name that also connotes wisdom, giving it a double advantage. It entered the Top 1000 at about the same time for both genders in the early 1990s, but it has pulled ahead for the girls. Toni Collette named her daughter Sage Florence.
 The Greeks and Romans wrote that the smoke from burned sage leaves imparted wisdom, and in the tenth century, Arab physicians said that sage brought about immortality, or at the very least, a long and healthy life.
 In Vampire Diaries, Sage is a beautiful vampire possessing super strength and speed.

Sage

Sanziana

Silene

Stejara

Sylvestris

Valeriana

The name Veronica projects a triple-threat image: at once saintly, sensuous, and strong. The name derives from Berenice, the Latin form of the Greek name Berenike "she who brings victory", with the spelling influenced by the Latin phrase vera icon "true image". Veronica was the name of the compassionate woman who wiped Jesus's face when he was on his way to Calvary and whose cloth was miraculously imprinted with his image: she is now the patron saint of photographers.
 Then there was Veronica (born Constance) Lake, the peekaboo blonde of the 1940s, and the sultry, dark-haired rival of Betty in the Archie comics. And, more recently, we've had tough teen private eye, Veronica Mars. Veronica is also the name of an herb with small, bright blue flowers.
 Veronica was in the Top 100 from 1972 to 1991, but it might not be too soon for a comeback—sans the dated nickname Ronnie, although hit CW show Riverdale, loosely based on the aforementioned Archie comics, may provide a boost.

Veronica

Conrad's list "Botanical Names for Girls" of 25 great name ideas: Aster - Veronica!

Botanical Names for Girls

If you want an uncommon flower or botanical name for your little girl, some are more international, or are names that you didn't think of as being botanically based.