Thanks so much for the additional information, Maureen! Hopefully this will lead to more insight into where Edmund was from. :)
Before 1864 records were kept in the form of church and parish records; while some of these have regrettably been lost over the years, all the surviving records have been sorted into county-based genealogical centres
. I had a browse through the church records
and wasn't able to find anything for Edmond myself, but maybe the centre in Wexford can help you clear things up.
Where is Edmonds grave located? Do you perhaps have a photo or screenshot of the information on there?
Hopefully Ginger will find out more as well, so fingers crossed! :)