Thanks! The following were head of households on the Limerick City Census. Trying to find connections..

McInerney Daniel High road
McInerney Denis New road
McInerney James Goggins lane
McInerney Johanna Broad lane
McInerney John Cashes lane
McInerney John Castle street
McInerney John Newgate lane -Englishtown
McInerney John King's Island
McInerney John New road
McInerney Joseph George's Quay
McInerney Laurence New road
McInerney Martin New road
McInerney Mary Cross road
McInerney Michael New road
McInerney Mortimor King's Island
McInerney Thomas Broad lane
McInerney Thomas Halloran's lane
McInerney Timothy New road
McInerney James Michael's lane
McInerney Margaret Market Alley
McInerney Patrick Charlotte Quay
McInerney Patrick High street
McInerney John Garveys Range
McInerney Joseph Campbell's lane
McInerney Patrick Lock Quay
McInerney Thomas Lock Quay