Whilst I think you're being a little bit mean. (Only a little,) as I think she is probably just trying to be friendly and trying to fit in it and is probably a very nice person, I also understand where you're coming from. It can be quite annoying when somebody is really full on and keeps asking you multiple questions, and keeps wanting to talk.
I used to be in a village group. It was just a 'ladies group' that used to meet every third Wednesday ... about 15 to 20 women there usually. Just having coffee and chatting and playing board games, and playing bingo sometimes... There were always two or three in the group that talked more than anybody else, and kept prodding you to talk - and to answer questions.
And when I first started, for the first three or four times I was there, I had a couple of women asking me about 15 to 20 questions each, really personal questions, like about my children, about my husband, about my marriage, about my parents... What family did I have? Did have any siblings? Was I in touch with them? When I said I didn't have much contact with my brother because he moved abroad, they started questioning why, and wondering if there's something wrong there, really prying. (There is nothing wrong, we just have very little contact as he moved 1000s of miles away...)
Also, the woman that ran the group, although she was friendly, she was quite bolshy as well. And she got 10 out of the 20 of us to put our phone numbers into a little basket. And then the other 10 would pick a phone number out and who's ever phone number those other ten picked out, they had to call that person over the Easter holiday and meet them for coffee..., Even though some of the people had only met two or three times and were actually quite shy. Sort of OK in the group, but calling someone they didn't know to meet for coffee was just odd, and it all felt very manipulative.
I picked someone's number called Carol and she just frowned and said, 'oh, so you'll call me over the next week or two, will ya?' And I said, 'Oh yeah, okay, then.' I did not really her like that much. She just never smiled and seemed quite grumpy. She was about 15 years older than me, and I had absolutely nothing in common with her.
So I didn't call. And because of that, I ended up not going to the next two meetings because I felt so awkward about it. So yes, people being really over the top, and trying to push you into being friends is just not that great. Friendship should be organic and they sometimes take a long time to form.
I wasn't keen on my next door neighbour when she first moved here three and a half years ago. But over time, especially over lockdown, we became quite friendly and quite close, and we're now quite good friends. But it took like probably 8 to 10 months before we started really speaking properly. You can't force these things.
As others have said @Bleachmycloths just have a quiet word with the group leader... if this woman doesn't calm down after a couple of weeks.