Post-war Glasgow and surrounding areas saw a huge growth in peripheral Council housing estates being built eg. Drumchapel, Easterhouse, Pollok and Castlemilk etc.
Assuming that the family moved into a council house in one of these housing schemes, it should be possible to find out from housing records when the various phases of these, or similar, housing estates were released for occupation, and as you have the 1955 address it should be a relatively? easy task to pin down an entry date.
The City of Glasgow housing department may have retained these records, or they may be archived, possibly at the Mitchell Library.
You may find the attached reference of interest (
https://www.rootschat.com/links/01tt0/)
Happy hunting and Good Luck!
Istrice