She asked you for space, give it to her and trust that it is for the best. If she sends pictures of your daughter just reply with "cute" or "thank you" or whatever seems appropriate but brief.
Yes I'm sure she's reaching out to you to make sure you're still on the shelf. I'm sure she's scared about what she's doing and probably lonely if she's home alone and you are a security blanket.
That's all okay.
You also don't have to be available to her. You can be as available as you'd like. "Sorry can't talk out with friends" is a fine reply. Waiting until the next morning to reply is also fine.
If you lack the discipline not to respond right away, put your phone in "do not disturb" mode at the same time each night. That way it won't buzz and you won't know if you have a text until you decide to check it.
There was a woman on her a few years ago where her husband was doing the same type of thing -- pinging her every night. One night he called her and she was out at a bar with some friends having a good time and there were people singing in the background. That did wonders for her sitch. Don't put your life on hold -- go out and have fun, do things that make you happy. Don't be a spotlight shined directly on her.
Easy to say, hard to do, but the very best thing you can do by far.
Married 18, Together 20, Now Divorced M: 48, W: 50, D: 18, S: 16, D: 12 Bomb Dropped (EA, D): 7/13/11 Start Reconcile: 8/15/11 Bomb Dropped (EA, D): 5/1/2014 (Divorced) In a New Relationship: 3/2015