All the Taron-related names have various uncertain and perhaps-unrelated origins. The Irish girls' name Tara is the most widely-used of the bunch, sitting at the bottom of the Top 1000 after ranking in the Top 100 from 1970 through 1990. In its heyday, Tara was occasionally used for boys too: about 20 boys vs. more than 5000 girls in 1970. Taryn, which you might think of as a Tara-Karyn hybrid, was given to nearly 200 girls last year, placing it right below the Top 1000.
Homonym Taron is actually more usually a boys' name, thanks to two notable modern bearers: Welsh actor Taron Egerton and South African-born filmmaker Taron Lexton. It may be a variation of Taran, which may be a shortening of Taranis, the name of the Celtic thunder god. Taron and Taran were both given to about 30 boys last year but no girls. But any of these variations or spellings could be used for either sex.
