What Smackie said:
To add: You should seriously consider getting counselling because you confuse love with lust and you don't have enough self-worth to know that when you argue with someone and they don't come back to you for months on end, it means that they don't actually respect you much nor do they care all that much about you. You're currently with him because you don't have the means (the financial or the life skills) to take care of yourself and your children on your own.
The other guy didn't think enough about you or his child to want to be with you and he very quickly washed his hands of both of you so why you're even thinking twice about him makes me think that you're missing the sex which I stated earlier, you mistake for love.
I hope you are with it enough to be getting child support payments from dick-hole number 2. Just because he didn't want to be in the child's life doesn't mean he gets to shuck his financial responsibilities for her. Tell us he is supporting her financially.
I'd venture that the "more" babydaddy No. 2 wants with you is just more uncommitted and unsafe sex with you... it's easy to say he wants more with you when he thinks you're settled in with babydaddy No. 1.
“The willingness to accept responsibility for one’s own life is the source from which self-respect springs.” ~Joan Didion