The infant may have been his daugher? She was still pretty young in this one. To be honest though I don't remember Gordon's kids being in Batman Begins (just rewatched it yesterday). I'm certain it wasn't 10 years though because at the end of BB they mentioned the joker...I think it picked up almost immediately.
*Spoiler*
I was hoping that TwoFace would have been the villain in the next movie, but was just created in this one. His death was actually the only part I didn't like about it.