There are two of them, one is Sheira Hall who is the original who fights with ancient weapons. There is another one named Kendra Saunders who is the New 52 version who has some of Sheira Halls weapons but with modern weapons included like two dart guns.
Here are the wiki's of the two
Sheira Hall http://hawkman.wikia.com/wiki/Hawkgirl_(Shiera_Sanders)
I actually think that Kendra Saunders actually has a better chance, not only since they are using the New 52 characters and costumes, but she seems to have more features then the original. But who knows? Which one do you guys think would be in if there is a Hawkgirl in this game?
Of the two TC mentioned I'd take Shayera Hol. The long red hair and old-school armor is classic. I don't like the short hair and dart gun of Kendra too much, and most people who know Hawkgirl know her by Shayera.
Currently Playing- DC Universe Online, HM: A New Beginning, Two Worlds II Wanted- Injustice: Gods Among Us, Fire Emblem Awakening