I live fairly close to Drumsough though I can’t say I recognise the house in the painting. However I might be able to track it down.
I see a Joseph Hill farming in Drumsough in the tithes (1834). He has gone by the time of Griffiths Valuation in 1862. Either sold up or died, I would assume. There are no Hills in the townland in 1862.
http://www.irishgenealogyhub.com/antrim/griffiths-valuation/parish-of-d…
What were Hugh, John & James parents names, do you know (you should be able to get that from marriage or death certificates), and what was their father’s occupation?
The births are all before the start of statutory birth registration in Ireland (1864) so you won’t get any birth certificates for them. You would need to search church records for their baptisms. Any idea what denomination they were?
There were about 18 Hill farms in Drummaul parish in Griffiths. So quite a common name in the area.
Elwyn