Neighbor not a Karen but a Kelly

I have a neighbor I don't like to be honest no one likes. We've had issues with boundaries and we were warned by the last homeowners 5 years ago they had issues with her. Where we live we all have acerage and so homes are not close together most of us have gone years without meeting eachother. So this evening one lovely neighbor decided to have a neighborhood cookout and potluck. Super sweet idea but neighborhood Kelly was also invited. She sat next to me then proceeded to obnoxiously call my kid the wrong name and my husband corrected her a dozen times. She then proceeded to tell me of a reddit thread she couldn't believe people didn't agree with her. Here was the scenario: Neighbor hears a child screaming and goes and knocks on the home of the child and mom of screaming child answers the door. Neighbor says "I can hear your child screaming can I help?" Mom tells neighbor "She's 3 and she's going to scream." This doesn't suffice neighbor and she says "I can help her she's loud." The mother reiterating what she just said and shuts door. My neighbor Kelly thinks this is a rude mother and reddit thinks the neighbor is a Karen. So during this cookout my neighbor Kelly won't drop this scenario. My husband got so uncomfortable he got up to walk away. Here's where I think this scenario is important to our situation. Our homes well secluded and across the street from eachother. She has texted me on multiple occasions she can hear my children. When our windows are shut and we have tons of space between our homes. It has infuriated me to a point of my children are well behaved and don't have to be quite in our own space. She has also been outside and told me how to parent. I had to stop her several times to tell her I have a degree in child development and was a teacher. She finding out we were having a 3rd son tried to tell me we were having sex wrong and we should have asked her advice for how to have a girl because she has a genetics degree and her husband told her she doesn't and rolled his eyes. I'm convinced she is the most Karen of Kelly's and I tried to avoid her at this gathering yet she followed me and interjected herself into every meeting of other families. I told my husband tonight if she ever shows up on my porch to tell me my kid is screaming she will be having a screaming mom yelling at her. He thinks any other neighbor would be fine. What do you think? Is she a Karen? Do you think it's too far to tell a mother her child is screaming?