The seat of my FURLONG family are based on Jamestown, Oylgate, Enniscorthy. Members of my family are buried in the ancient graveyard at Edermine. There was once a church on the site but was demolished many years ago. It is my hope that this was a parish church and that the birth, marriage, and burial registers have been deposited somewhere.
Laurence
While this is an old post, your recent queries about the same topics show that there may be some benefit to expanding on aghadowey's and other responses. The missing aspect is that in my experience there basically aren't any historic burial records for specific graveyards. The old graveyards are typically 800 to 1000 or more years old! The lack of cemetery specific records is true is true for both Catholic and CofI denominations - typically there are many old graveyards within each Catholic parish or CofI union.
Instead, where records exist (which is not all that often), they tend to be a chronological list of deaths in the parish. There may be some that specify which graveyard the burial was in, but I don't think this is typical. Even some of the modern (post 1898), urban district/corporation run cemeteries continued to lack such systematic records!- e.g. New Ross, as far as I know.
A separate point is that Edermine was a parish of the established church. So, even if the records were still extant (which they aren't), then your ancestors would not be in them anyway, as I believe you have indicated that they were Catholic.
As for Edermine church itself, I believe it was located in the townland of "Glebe", i.e. it was not officially located in Garrynisk. The source of the comment on the medieval church being demolished can be found on pages 96-97 of Vol. 2 of the Ordnance Survey Letters for Co. Wexford, dated 1840, see
http://www.askaboutireland.ie/reading-room/digital-book-collection/digital-books-by-subject/ordnance-survey-of-irelan/