Hello Alien,
I couldn’t find anything specific to No. 10. However as regards neighbouring buildings (assuming the numbering system hadn’t changed)
In 1864 William Robertson of No. 14 wrote a letter of complaint to the Glasgow Herald.
In 1868 the chimney stalk attached to a three-story tenement at No. 16 was blown down and almost demolished Mr James Robb, Cabinetmaker, and his wife and child and a neighbour Mrs Todd sitting by the fire presumably directly below.
In 1869 John Duncan, 12 main St., Rutherglen, was one of 4 young men furiously working a Velocipede who ran over an old lady. The description of the vehicle defies description but it seems they were trying to find out how fast it would go. It was presumably faster than the old lady. That brings back memories.
In 1892 Andrew Cochrane, grocer, at No. 16 was prosecuted for selling half a pound of butter containing 69.45 per cent of fatty matter not derived from milk. It sounds a bit ominous but it was probably just margarine.
There appears to have been a bank or agency at No. 14 as late as 1878
http://lu.softxs.ch/mackay/Couples6/C15416.html
Here’s a WebCam in the street.
http://nairb1.camstreams.com/
Not much help but maybe there’s a clue there somewhere. A directory of the area and the time would probably be helpful if you can get hold of one.
Alan