The actor Tyrone Power named his daughter Taryn in 1953. I always assumed he'd invented it as a female form of Tyrone - I'd be interested to know if it was in use before then.
This was the name given to Jennifer Connelly's character in the film Higher Learning. The character was a very strong and admirable female role model. I chose Taryn as my middle name when I changed it legally, and my choice was in reference to this character.