Hello,
Sorry I cannot directly identify this lovely old church but I can pass on a few links that might help... The first is the official Bouctouche Regional website... they have a small genealogy section so perhaps some contact with them might help and the next is for Kent County Genealogy where you will find many cemetery transcripts, unfortunately, the Carleton area is not posted yet, but, contact with the website owner might be helpful as he has photographs of several of the other churchs already posted... good luck in your search...
http://www.bouctouche.org/index-e.htmlhttp://freepages.genealogy.rootsweb.com/~kcgs/