I have a few friends I have to initiate with, they have busy lives, maybe this is the case with her. I'm reading she's a mother, working, so I'm guessing she's got a fair bit to occupy her.

It sounds like when you did get together last month you had a nice time? Tbh I wouldn't worry about the who initiates texts business, I'd concentrate on how things feel when you are spending time together.

I can see you have abandonment/attachment issues and wonder if you have worked on those? It sounds to me like a lot of what you are feeling is from your past.