Hi Liz,
Could be a John or a James.
Brian LAWSON'S site has the baptism/birth of a John and a James to John LYNCH and Catherine DUFFY who also appear as John LYNCHEY and John LYNCHY and Catherine DUFFY.
Also there is a John LYNCHY to Andrew LYNCH and Jane IRVINE, I have their marriage details as Andrew LYNCHEY and Jane IRVINE.
Further Frances has given me information on October deaths in the 1832 cholera outbreak which include Michael McLINCHEY and also "son of Michael McLUCHY"
Accents and level of literacy at that time most likely contributed to this with possibly some antipathy to the Irish.
Accents cause understanding difficulties even today, I remember visiting the parents of an English friend who lives here in Australia, they took me to the Rochedale Conservative Club (which seems to me a contradiction in terms), I had great difficulty staying in the conversation but then my Australian accent may have confused them.
Cheers

Peter
Melbourne