Hi,
I was asking a friend who belongs the Gilmerton area about gala days. She recognized your granmother as being the wife of the local doctor who resided in the Northfield area of Liberton.
In the 1950s Moredun held gala days my friend actually took part in one but not this one.
Apparently in the Saturday edition of "Evening News " there is a "Can you help" column why don't you ask in it if any one can remember who your gran crowned. Worth a try.
There is another site
www.edinphoto.org.uk the owner of the web site Peter Stubbs is very helpful I have contacted him a few times regarding
photos on his site there is also a guestbook you could write in that people from all over the world are "guests" talking about their childhoods in Edinburgh.
Won't do any harm and worth a try.
Good luck.
Remember and let us know how you get on
Betsy