In laws creep me out

I’ve had a sort of rocky relationship with my in laws in general ever since my daughter was born. Not like a noticeable, drama filled kind of thing but mostly them rubbing me the wrong way and me not thinking they’re great people/family especially since my family would and has done so much for us etc. I could list all of the weird and shitty things they’ve done, but that’s not the point here.

Anyway, one thing I can’t get past is the way my husband’s grandmother acts around my now 2 year old daughter. She’s always been really possessive of her, which from what I read has happened to a lot of you mamas, but I feel like she takes it too far. We don’t see them too often, but when we do his grandma treats my daughter like a sort of science experiment. Like, she gets really close to her and just stares at her whether my daughter is doing her own thing, playing with me, or sleeping in my arms. She comes up really close and just stares for SO long and sighs over and over and makes me so incredibly uncomfortable. She also follows her everywhere and tries to shoo everyone away. My daughter walked out of a room once, with the grandma on her heels, and when my husband went to follow casually she snapped at him to leave them alone. It was really very strange because she was honestly angry. And then of course the standard things of taking her and not giving her back, refusing to hand her to me when she’d cry because she was hungry as a baby, etc. But there are occasional instances that just make me even more uncomfortable than those.

I don’t know a better way to describe her actions other than creepy. I mean, she’s just a little old lady, but my instinct just makes me want to run away.

Am I crazy? Is there any validity to my gut feelings?

She wants to “watch her play” tomorrow so we’re planning to meet up with them and I’m just dreading the odd overbearingness and microscope wide eyes that’ll be following us everywhere.