You've now found the Alumni entry I was referring to, but for future reference (and to help anyone else interested) you can see it in a person's entry at the Clergy Database site by clicking the '+' next to Comments at the top.
The entry is somewhat abbreviated, but I take it to mean that he was son of Thomas Gage, gentleman, of Southhurst, Somerset, born c1693. I haven't been able to identify Southhurst, though.
Sometimes you can get a bit more info on Oxbridge graduates from college archives, but not in this case. New Inn Hall was merged into Balliol College in the 1880s, and the Balliol Archives page says
"No pre-1800 records for New Inn Hall or its members survive at Balliol." (From
http://archives.balliol.ox.ac.uk/Past%20members/trace.asp - near the bottom of the page)