We have an 8 month old, for some reason she cries without fail if my MIL holds her even after being around her for multiple days. She's not like that with everyone but consistently has a meltdown with my MIL. We can't pinpoint the reason for this or why in turn for example she'll happily let partner's of family who she just met hold her for ages.
A couple of months ago MIL begged to have our daughter overnight. Well actually she wanted to take her to a different nearby country for a week, we said no, then she wanted 3 nights, we settled on 2. I thought it would give them a chance to bond and it's important to me that our daughter has a relationship with her GP's. As I was very close to my own.
She only managed 1 night because my MIL didn't follow our daughter's very simple nap and feed schedule, because she raised 3 kids and thinks she knows it all. 
Fast forward to today. My husband says to his Mum that we're going to take our daughter to my home country (requires a long haul flight) for her first birthday to see my Mother and meet my extended family.
MIL says she has a great idea, that the next year and every other year after she should take our daughter alone (first time when she's 2 or less) to my home country and they can both stay with my Mother for a week or two. 🤔
While I sincerely hope our daughter and my MIL bond in the future; even if they have the closest GM/GC bond ever, taking her out of the country for at least a week or even two without us sounds like a ludicrous request?
Or am I missing something because I haven't had a toddler of my own yet? Won't my husband and I still pretty much be the center of our daughter's world at that age? Or do toddlers suddenly transform into globe trotters minus the parents at 2 years old?
My husband just gave a non-committal response to her and then asked how I felt about it.
I am not 100% sure IABR in saying "Nooooope." In part because I also can't bear the thought of being apart from my daughter for 1 or 2 weeks, which might be clouding my judgment. I also can't help but think that since it's been 18 years since she's cared for a 2 year old that she may have forgotten the reality of it.