 Mirelis

Adamaris

Singer Alanis Morissette made this twist famous. She was named for her father Alan, who is said to have spotted this version in a Greek newspaper. So far it has been pretty much a one-person name, but could make a distinctive update of Alana — especially with s-ending names making a comeback. Alanis is a Top 100 choice in Puerto Rico.

Alanis

Singer Alanis Morisette may have made the one-n version of this name more famous, but like the other Alan feminization Alana or Alanna, the spelling can go either way.

Alannis

Alanys

Alianys

Amarilis

Amaris sounds like "amorous," which is a loving name for a child, but doesn't really have a clear derivation or meaning of its own. The popular Amara is one of the most international names on the charts, with derivations and meanings in cultures that truly span the globe. And Amariah is an ancient Hebrew name. Still, Amaris is unusual and pretty, and that may be enough.

Amaris

Amarys

Anais is an unusual, alluring name forever attached to the daring French-born American novelist and diarist Anais Nin (born Angela, with Anais as one of her middle names), who became the inspiration for the naming of the daughter of musician Noel Gallagher. Anais is also the name of a popular perfume.
 Anais can be found as a character in Balzac's "Lost Illusions", and in Colette's 'Claudine' books.
 Anais would make a creative and distinctive <a href="https://nameberry.com/list/673/middle-names">middle name</a>.

Anais

Aracelis

Arielis

Arielys

Abdielys

Abneris

Adalis

Adalys

Adamarys

Adiaris

Adrialys

Adrianis

Adrianys

Adrielis

Adrielys

Ailanis

Ailanys

Alannys 

Aleanis

Aleanys

Alenis

Aleris

Alianis

Aliannys

Amarilys

Amneris

Anaelis

Anahis

Anelis

Anelys

Angelianys

Angelis

Angelys

Anielis

Anielys

Anyelis

Aranis

Arelis

Arelys

Arialys

Arianis

Ariannys

Arianys

Aurelis

Brianelys

Carelis

Carelys

Carielys

Carlianis

Carlianys

Chrislianys

Coralis

Coralys

Daenerys is yet another girls' name invented by "Game of Thrones" author George R. R. Martin that is beginning to gain some traction in real life. Daenerys was used for 67 baby girls in 2013 while one of the character's titles, Khaleesi, was given to 241 baby girls. And the name Arya, also from the hyper-popular series, is one of the fastest growing <a href="https://nameberry.com/girls-names">girls' names</a> in the country.

Daenerys

In the New Testament, Damaris was an Athenian woman converted to Christianity by St. Paul. Known for her charitable work, her name was a favorite among the Puritans. Having slid off the bottom of the Top 1000 in 2012, Damaris might be deserving of more attention by parents in search of a New Testament name that is unusual but accessible, especially since girls' names ending in 's' are coming back into fashion. 
 Damaris is a supermodel name via Damaris Lewis; it's currently a Top 100 name in Chile.

Damaris

Doris had long been on our so-far-out-it-will-always-be-out-for-babies list, and seemed to be written there in indelible ink. But there are signs of a sea change, that Doris could profit from the revivals of Dorothy and Dorothea.
 She may not look it now, but Doris was considered the paragon of grace when she was part of a group of s-ending names (Phyllis, Frances) fashionable in the 1920s, and it got another shot of life when attached to the perky Doris Day in the fifties. In classical Greek mythology, Doris is the daughter of Oceanus, god of the sea, who gave birth to fifty golden-haired sea nymphs.

Doris

Dalianis

Dalianys

Daneishalys

Danelis

Danelys

Danielis

Danielys

Darelis

Darelys

Darianis

Darianys

Darielis

Darielys

Davielys

Dayanis

Daynelis

Delianys

Delmaris

Delmarys

Denielys

Deylianis

Dianelis

Dianelys

Elianis

Elianys

Elis

Edianys

Edielys

Eilianys

Emilianys

Erianys

Erielys

Francis

Francelys

Franchelys

jevohh's list "Puerto Rican Girl names ending in -ys or -is" of 375 great name ideas:  Mirelis - Zurielys!

Puerto Rican Girl names ending in -ys or -is