Hi Greendoor,
You did not say whether you have your Grandmother's death certificate or not.
Now, I think we would have to check Ireland and England to see if your Grandmother was born there.
Glasgow was a popular spot for many Irish from the North of Ireland but well as the South (the Republic). My Grandmother was born in Glasgow--not many people know this fact in my family until I show them her birth entry.
However, she grew up in Belfast and remained there until her death.
I think you would have to find out when she passed on. Hope she did not marry for thrice which will only confuse us.

I will take another look at the English BMD indexes for you to see if there was a Marjory Doherty being born in appox. 1886.
Her age is consistent and she kept stating that her mother is Margaret which is a good indiction she knew her parents' names--I am not sure as to why she named her father a bit differently--perhaps one of the names was his nickname or middle name?
It is a bit shame that she did not name her mother's maiden name which will make things a bit easier...
Joekar--he is a very good helper!! You are in a good hand.

Kind regards,
Tees