OP this is a difficult situation. I have been placed in a similar situation by another parent who was very pushy about "helping" me. I never asked, wanted or needed help. She seem to have it in her head that I did need help both practically and via martial things (we are not struggling financially at all and are lucky that we have a good lifestyle).
I actually have 3 kids (one with significant additional needs) and her focus was on 1 child. It started out nice enough but then started to feel suffocating and like my child was being restricted from other friends. Her child didn't like my child having other friends and wouldn't let him learn at an after school class they attended together.
Her child was also booked into another activity purely because my child was there which I found odd but accepted. It all came to a head when she accused my son of "ignoring" her son at an after school activity. I pulled my son back totally at this point from her child because this activity is one my son was attending to learn focus, discipline and is very instructor led and not a sit about chat one. She couldn't accept my reply that my son was trying to learn and was not ignoring hers and her replies were strange and almost seemed she thought my marriage was in trouble 🤔.
She only ever saw other kids reaction to her child not his behaviour that instigated that reaction.
The pushy behaviour can come across nice to begin with but crosses a boundary which is where you sit back and think no normally.
Personally I think it must have been hard to be left out of that group meal but that is part of life. That bit does come across a bit mean. However I have been left out because of my additional needs child and I never messaged the parents. If they don't want to include me and my child fine. We move on and don't make a deal out of it because they were never my friends to start with it they can treat me like that.
Just be careful here that you are not deliberately excluding her because you think your children are better behaved. I have seen that happen to and it hugely backfire because the kids the parents were convinced we're "well behaved" were actually the source of all the bullying and issues in the primary school eventually. Most of this was driven by parents getting together and sharing stories about how badly behaved x or Y child was and believing everything there "perfect" kids told them.