Hi Michael,
I just had a look on FamilySearch under Sighthill cemetery and John Lindsay is definitely buried there! Details are as follows:
John Lindsay, cousin of William Drummond
Address: 1 Kildonan Terrace, Ibrox
Date of Death: 21st April 1909
Date of Burial: 23rd April 1909
Age: 39
No. of Lair: 1
Class number: 7
No. of script: L729
Name of lairholder: The Executive of The Scot's Grey's Association
There are also two other columns that state No: 6 & Class: W - these are just before John's age so may pertain more to his description rather than the burial plot.
It's still worth waiting for the info from the crematoria as I'm not sure whether the above details give any reference to which part of the cemetery the lair is in...someone else may be able to offer advice on that!
Not sure if this will work but here is the link to the image:
https://www.familysearch.org/ark:/61903/3:1:3Q9M-CSJ9-K9FF-Q?i=189&cat=1315122Kind regards,
Andrea