My DC has 2 friends that are siblings, they have been best friends for about 7 or 8 years.
I know their parents and would chat at the school gates to either mum or dad and when dropping off or picking up from each others houses. We don't see each other socially.
They split up a year ago at the mums request and she has since moved in with someone else.
The dad of the two and I got chatting (he initiated it), I was clear (very clear) that there is no romantic intention from me. I spoke to the mum and just told her we had been chatting and if she was uncomfortable I would remove him from my social media. She said it was fine.
This weekend dad friend asked did we want to meet up at the park. Our kids were excited and I didn't see any harm so I said yes.
5 kids, 2 dogs, in a park, Broad daylight. Clearly not a date. We went in separate cars and went straight home separately.
Last night I got a load of abuse from the mum. I reassured her there was no romantic intention again and said if she was uncomfortable with it I would happily remove him from my social media which I did.
Just for the record the mum moved on with her friends ex 2 months after that relationship ended, they now live together. So I am finding the fact she is kicking off because I am her friend (we talk at the school gate as above) a bit thin. BUT my child is best friends with their child so I don't want to upset anyone. He is a bit annoyed because she shouldn't be able to control his friendships a year after she left him.
So YABU - only a brazen hussy would meet a man in the park with their kids.
YANBU - she is being ridiculous but for the sake of the childrens friendships, best to nip it in the bud.