I don't think it's a case of women being more eager, I think all of us want to reproduce. Really it's a question of biology.
Men don't suffer the menopause(well most of them don't).
They can have kids pretty much whenever they like.
Women are in different situation. If a woman hasn't had children by about 35, chances are she won't have them have them atall. I know there are exceptions to this but generally speaking this is the case.
Therefore there is more pressure on women to reproduce when they are younger. Younger women have to think about having children wheras younger men don't really have to worry too much.