There is one possibility I think for Henry in the censuses and also may match with a birth entry I saw on IGI:
A possible birth showing on IGI:
HENRY BIRRELL SMART Birth: 10 APR 1862 High Church, Glasgow
Parents: CHARLES SMART and MARY BIRRELL
Likely marriage for this couple showing on the Old Parish Registers on 18 MAR 1846 in Glasgow
A few census entries for this family:
1861 - everyone born in Glasgow apart from father Charles:
Charless Smart 41, Labourer In Brewery, b. Arbroath, Fifeshire
Mary Smart 39
Janet Smart 14
John Smart 10
Mary Smart 2
Address: 496 Duke St, High Church, Glasgow
1871 - I am wondering whether father Charles may have died between censuses?:
Mary Smart 50, Washer & Dresser b. Kirkcaldy Fifeshire
John Smart 20, Engine Altondant (attendant?)
Henry Smart 9
Address: 21 Greenhead Street, Bridgeton Glasgow
1881:
Mary Smart 59, Sweeper In A Mill b. b. Kirkcaldy Fifeshire
Henry Smart 18, joiner (apprentice)
Mary Emmit 28, boarder
Address: 92 John Street, Calton Glasgow
This is the last census I can easily see for this Henry so a good possibility. You do need to be able to verify at least his father's name though to be more certain.
Monica