Hi,
In 1881 there is an Alexander Jamieson living with a Stirling family at 80 Hamilton Street, in Govan, Lanarkshire.
He is down as being born 1861, Ireland & a Labourer In Shipyard. The other members of the household are
George Stirling 30 Glasgow Timekeeper Shipyard
Helen Stirling 30 wife Ireland
Janet Stirling 1 dau Govan
Joanna Beveridge 26 visitor Dumfermline, Fifeshire
John Smelie 37 boarder Ireland.
This is not the same Alexander asin 1901 census that you mention.
Sharon