Am I doing the right thing?

Hello everyone, this is more of a vent than anything but I want to know if this is the right decision. I’ve been talking with this girl for 4 months and it seems clear to me now that she’s been using me. I’m over it and I’m done now. I’ve tried my best to make it work but I know realized that it will never work if the person isn’t putting in the same effort.

I haven’t seen her in person nearly a month and each week it’s excuse after excuse why she can’t meet yet she’s willing to do phone calls. This week she didn’t give a specific reason why she can’t meet, she just said she’d rather call. Honestly I’m done with this, I’m done being her emotionally punching bag/back up plan. I’m looking for a serious relationship and I asked about how she felt about making things more serious after 3 months of seeing each other said I was going too fast.

I will say we are both 22 but she has a daughter that’s 1. That’s not a big deal to me but it’s tough to make plans knowing I’ll never be the first priority. Even when though I try to make plans when the kid is with the father. I guess I was still holding on and hopeful things would work because she was my first kiss and only person I’ve shared a bed with. She did mention that she’s been hurt in the past but at the same time she should see that I’ve always treated her and it’s at the point now where I feel used.

This is not the way relationships, should be especially at the beginning. We should both be eager to see each other and I feel like I need to convince her to see me. I just don’t understand why she would keep me around if she never had any intention of being with me. I guess I felt that I invested so much into her I didn’t want to give up so easy but I now realize I’ve done everything I should’ve done and I should just walk away. Am I doing the right thing?