Need some advice, me and that girl is in love?

I met that girl, but we don't live far from each other, we trade face pic, and number and since then we been talking on phone, testing, she loves me and wants to go out, but she still living with her daughter's dad, and we both fall in love, and things start getting real serious (talk) what do i do in that situation? she's too sweet to me
she explains me all about it, saying her ex is there for there, things can not work out between them
no moving in, I can't even taking care myself working temporary job, i want to know what should i do, no moving, no taking any responsibility financially now, unless she accept me as I am

Pretty much. if things are that serious consider meeting in person and maybe moving in together to get ride of the baby daddy.