This is half lighthearted as sometimes I smirk at things she does/says to the family and I'm a tiny bit impressed she gets away with them, sometimes they annoy me far too much!
I get on well with my inlaws - but see them much more since baby has been born.
Baby is just starting to say words and has mastered Daddy obviously
and has started saying Mama.
I encourage baby to try Grandma and Grandad and my FIL laughs at me when I think baby has said something akin to Grandad (which isn't really!) - and I find this sweet. I equally encourage the word Grandma and also point out when a word baby has said could be similar to Grandma 
When baby says mama - MIL gets very excited and over and over again repeats how great it is that baby can say grandma which, I know it shouldn't, winds me up!
She also goes on about how 'baby always sleeps when it's spent time with us' (no baby doesn't)
'Baby is so good for us'
'Baby is so happy when with us'
'Baby always wants me as soon as I arrive/you visit' or you grab baby before I can get through your front door and nearly push me over!
Sometimes I wonder if she's doing these things on purpose to wind me up and sometimes I just think she's a bit dotty (in a nice way!)
Our visits always end up with her telling me what a great DIL I am as all her friends seem to have DIL's similar to wicked witches if I'm to believe the stories she tells me. This makes me feel bad for getting annoyed at the little things.
Is it just a territory thing? A dotty thing? Or just how it goes?