There are few things that level the playing field, as far as dating and relationships go, like marriage, having children and a woman's biological time clock. Now let's get on to you. You'll both just find other people and the relationship will be over. Children are the only thing that can force a man to keep interacting with a woman when he wants out. And, because children are permanent, you need to answer the question of sex carefully, especially when she wants kids and you don't.
Desperate people do desperate things.
Only you can decide that. Please choose wisely. Yours, hers, and the child's. You've told her yours. If you truly are friends, as you say, she'll want your feedback, advice and help on this, rather than not wanting to talk about it.