Grove St was the sort of inner-city working class street that was occupied by families living in tenement buildings. Everyone knowing everyone else and where a little scandal went a long way.
Christina wouldn't have been the first young girl who was forced into parting with her illegitimate child because of pressure from a domineering parent, usually her father.
If she was a young, easily dominated girl and, nine times out of ten they were, she would have had no choice. Give up the child or pack your bags. She was probably a teenager and would have been given no help by the state to bring the child up by herself. (During wartime too).
So, the child is sent away and a scandal diverted. Normally, in a few years, she would find a husband and marry.
According to Scotlandspeople, only one Christina Ferrier was married in Glasgow between 1943 and 1955.
She was Christina Smith Ferrier and she married David McBlain in 1951 in the Kelvingrove registration district, which quite possibly is the same district as Grove St.
If you are very lucky, this marriage certificate may have 29 Grove Street as the bride's address.
Unfortunately, it cannot be viewed on-line but must be purchased and sent to you by mail.
Good luck.