Eric:
I looked at the Tithe Applotments listings www.titheapplotmentbooks.nationalarchives.ie
There was one Strap record in Co. Waterford and then three Strap records in Lismoylan townland in St. Johnstown civil parish in Tipperary. St. Johnstown parish is just to the northeast of Fethard parish.
I checked for Deady records on that file in Co. Kilkenny. There were six records in Kilmacow parish although a couple could be duplicates.
I also checked for an Alice Deady baptismal record on Roots Ireland around 1800 in Co. Kilkenny but found no record.
Roger McDonnell