Looking for ancestors to James or Thomas Mahood- Banbridge

In the title of your message you have said you are looking for ancestors of this family. In the body of your message you say you are looking for descendants. A bit confusing but I assume you are looking for both.

Seapatrick Church of Ireland’s records start in 1802, so you should be able to trace the early family through that. (Copy in PRONI in Belfast). By the time of the 1901 census there were several Mahood families in the town, all Church of Ireland. Presumably your family is connected to one or more of them:

http://www.census.nationalarchives.ie/pages/1901/Down/East_Urban__Banbridge_/Dromore_Street/1202397/

http://www.census.nationalarchives.ie/pages/1901/Down/West_Urban__Banbridge_/Kenlis_Street/1202842/

http://www.census.nationalarchives.ie/pages/1901/Down/West_Urban__Banbridge_/Linns_Terrace/1202892/

http://www.census.nationalarchives.ie/pages/1901/Down/West_Urban__Banbridge_/Reilly_Street/1203224/

If you provide a bit more information about your James & Thomas, I might be able to find a little more. When were they born and died, who did they marry, what were their occupations etc?

There’s 25 Mahood marriages in the Banbridge area in the period 1845 to 1901. You might want to go through them and see if any names ring a bell. There’s some descended from a James but I have no idea whether they are your family without more information.

https://civilrecords.irishgenealogy.ie/churchrecords/civil-search.jsp

Plenty of Mahoods from Seapatrick on Rosdavies’ site:

http://freepages.rootsweb.com/~rosdavies/genealogy/SURNAMES/M/MahMak.htm