I suspect that on girls, people were using
Elisha (pronouncing it "eh-LEESH-uh") as just another corruption of
Alicia, along the lines of
Alisha,
Aleesha etc - probably not connecting it to the male Biblical name.
Again, the male and female names
Jan are separate (although not unrelated: both are forms of
John).
It's not quite the same thing, but from the 1100s to the 1400s,
Julian was one of the most popular girls' names in England, being the Anglicized form of Latin
Juliana.
Julian on a male was not found until the 1200s, and was less common. So in this particular form, it was used on females first. Then, as happens with all names, it went out of fashion for both genders. When revived in the 1700s,
Julian was used mainly for males, and the variant
Gillian for females: occasionally
Juliana as a learned form. So if you're looking for a name that was female to male, then
Julian is one ... See Withycombe for detailed analysis of this.