My experience with Breadner is the name is Irish but not found in County Wicklow. There were many Breadners who lived in Ontario and they all came from County Armagh in the North of Ireland. It could be that Breadner is a variation of Bradner but my research suggests they Breadners may have come from Scotland originally. For more information go to may "Bradner One Name Study" Site and look for possible connections. The address is http://www.aztec-net.com/~bradner/
Good Luck with your searching.