Just downloaded the family's 1891 census entry, Dave.

Your find has confirmed it's the right family.
Address: 80 Stevenson Street, Glasgow, LanarkshireThomas Lawrie, m, head, 36, shoemaker, b. Glasgow
Mary Jane ", f, wife, 36, -, b. Montrose, Forfarshire
Isabella ", f, dau., 14, cotton mill worker, b. Glasgow
Daniel ", m, son, 11, -, b. Glasgow
Thomas ", m, son, 9, -, b. Glasgow
John ", m, son, 7, -, b. Glasgow
George ", m, son, 5, -, b. Glasgow
Henrietta ", f, dau., 1, -, b. Glasgow
As said before, George b. 1874 died young (the same year) and Alexanderina's grandfather was born c. 1886 with the same name.
hume24