What are some things to think about when dating someone with a baby?

This comes from my life…

I’ve been extra casually dating someone with a 15 month old daughter.
(1st time I’ve been with anyone who has a kid)
At the time we met, I had just finalized a divorce, and she had just left the father. Seeing as we were both in such healthy places in life, we decided that we liked each other enough to have fun, but that nothing serious could come of this. We were both very open and direct about the fact that we were basically just using each other to get through an interim. So we went out here and there when her limiting schedule would allow; a couple hours every other week or so… Then, of course, we ended up actually liking each other.
Now it’s getting to the point where it needs to become something more serious or we need to stop before someone gets seriously hurt.

I see the lack of freedom her being a parent affords her and I’m hesitant to resign myself to that lifestyle. I’m just shy of 30, but it’s not where I am in life right now. It makes this difficult because I like her enough that I would definitely explore further in any other circumstance. And usually, there would be an organic progression through the stages of a relationship to something as serious as being a parent. In this case however, I feel like I have to decide all at once up front.

Am I considering this correctly? If anyone has any experience on the matter, please share.