And the Kellys 1879 Directory for Newent on this site lists

"Morris Thomas, farmer, Carwents"

http://www.forest-of-dean.net/kellys/Newent_1879.htm

The directories usually give words such as Cugley, Okle, Gorsley, Ploddy House, Baldwins etc etc against each Farmer's name entry, clearly indicating a place/area I think.

I wonder if it's a mispelt relation to the Welsh placename Caerwent ?.

Sure enough Googling "Caerwents, Newent" gives a small cluster of buildings (Farm ?) near Kent's Green, southeast of Newent.

http://www.geograph.org.uk/photo/2367493

http://getamap.ordnancesurvey.co.uk/getamap/map.htm

Hope that helps you Eric.