Hello Jim
I think I have found Hugh's marriage to Martha, although unfortunately her maiden name is not given. This is on Emerald Ancestors. We now know the year, and the county is Antrim which is in Northern Ireland (Ulster).
Year of Marriage Groom Bride County
1877 Hugh CONVERY Martha Antrim
And I think this is the one below marked in red which I found on the Irish Family History Foundation site. It is free to register on the site, and if you want to view and print a record it costs Euro 5.00.
Action Source Surname First Name Year County
Church Marriage Convery Hugh 1837 Co. Armagh
Church Marriage McConvery Hugh 1867 Co. Down
Church Marriage McConvery Hugh 1867 Co. Down
Church Marriage Convery Hugh 1874 Co. Antrim
Church Marriage Convery Hugh 1877 Co. Antrim
I will see if I can find any more information for you.
Marian
Manager