I am looking for my greatgrandfather's family (David McBurney)-late 1800's, possibly a farmer. He married my g-grandmother(Josephine Fleming< daughter of Rachel Harbison and Robert Fleming). I have been told the Flemings owned a pub in Castleblayney that is still there.
Diane:
I looked at the 1901 census and only found one McBurney family closer to Monaghan Town.
http://www.census.nationalarchives.ie/pages/1901/Monaghan/Monaghan_Rural/Knockaconny/1638254/
I did locate the residence of Robert and Rachel on West St. in Castleblayney. Their daughter Anne was living with them.
http://www.census.nationalarchives.ie/pages/1901/Monaghan/Monaghan_Rural/Knockaconny/1638254/
Roger McDonnell