Hamilton children - lost orphans ?

[genid]

John William Hamilton ( a coalmaster) married Agnes Robina McGregor Smith in 1884 in Glasgow.
They lived at Albert Road, Cathcart.
He died 11 Dec 1893 - she died 29 May 1895.
They left four children - James born 1884, Agnes 1886, John William 1887 and Margaret McQueen Hamilton born 1889. all born Cambuislang - the eldest child was aged 11 years when his mother died.
Both parents left a will, and inventories, with substantial bequests.
I had presumed that the children would have been looked after by one of their aunts or uncles.
On the mothers side - NO
Same for the fathers side - I have researched each aunt and uncle on the 1891, 1901 census - none of the above children were with them in 1901.
The scottish origins web site search engine is pretty hopeless for looking for an indivudial on the census, no birth location is mentioned until you purchase the census extract - so it makes it rather difficult to try and find any of these children.
Has anyone any ideas of how to search for them ??
Many thanks - David Beck

[Gadget]

Hi David

I'm not sure if this is him but there is a possible for James as a boarder in Argyll in 1901:

Relief Land, Inveraray, Argyll
Donald Luke, 56, Seaman - AB, b. ?, Argyll
Marjory Luke, wife, 59, b. Glasgow
James Hamilton, boarder, 17, shoemaker, b. Cambuslang

...


gnu

Added - to search,  you could try the indexed transcriptions on other sites - Ancestry and FindmyPast have them. Then, if you get a likely hit, you could splurge on Scotlands People