That sounds a likely death. Did a bit more fishing around too.
1901 Scotland Census. This appears to be William Mathew Cloonan and family at Canongate,
Edinburgh. (Surname transcribed as Cloman on An***try.)
William Cloonan 30 Head b Ireland.
Elizabeth " 25 Wife b Canongate, Edinburgh.
*William " 2 Son b Newington, Edinburgh.
Mary A " 24 Sister b Canongate, Edinburgh.
Robert Sutherland 6 Boarder b St Giles, Edinburgh.
*Sadly, a Death Notice in the "Edinburgh Evening News" dated 5th Sep. 1901.
"Cloonan.- At Canongate, Wee Willie, beloved only son of W. and Lizzie Cloonan."
ScotlandsPeople - William Matthew Cloonan died 1901 at Canongate, Edinburgh, age 3.
William's wife, Elizabeth McLaren died 1937 at Leven, Fife.
"The Scotsman" dated Monday 9th and Tuesday 10th Aug. 1937.
"Cloonan. At Leven, suddenly, on 6th August, Elizabeth (Bessie) McLaren, beloved wife of
W.M. Cloonan, governor, Queensberry House. Funeral Tuesday to Piershill Cemetery."
A short report in the "Dundee Evening Telegraph" dated Tuesday, 10th Aug. 1937, says
Elizabeth died while on holiday in Leven.
ScotlandsPeople - Elizabeth McLaren / Cloonan died 1937 at Scoonie(Parish), Fife age 62yrs.
Memoriams - "The Scotsman" dated 5th Aug. 1939. (Note the address)
"Cloonan.- In loving memory of my dear wife, Elizabeth (McLaren) Cloonan. . . . .Inserted by
her husband, William M. Cloonan, Governor, Queensberry House and Lodge, Holyrood Road,
Edinburgh." also "Cloonan.- In loving memory of our aunt, Elizabeth Cloonan. . . . .Inserted by
her nieces and nephew(s). Mrs and Mr J. Marr."
I assume from the address on the Memoriam inserted by by William, that he lived in
Queensberry Lodge while governor of Queensberry House.
Regards, Dod