I can see the baptism of Edward, son of Edward and Elizabeth FALKNER at Sandford St Martin (8 miles from Combe) on 17 Sept 1721.
Also a baptism of Edward FALKNER, son of Leonard of Ramsden (5 miles from Combe) 23 May 1719. (baptised at Shipton under Wychwood)
It is possible either is the Edward who married in Long Combe in 1739, however I'm not necessarily sure, particularly as there are missing pages from the Long Combe parish register and bishop transcript.
Do you have a burial for Edward?