I think you should give her some time/space, instead of asking to go over and see your child ask to pick him up and take him/her out, that would be more comfortable for her, limit your conversations with her for a while it sounds like she needs a break.

Also it doesn't sound to me like she wants any of your personal updates, so when speaking to her speak about plans to take your child and limit the other stuff. Let her know you would like a schedule like (weekends, every second day or whatever).