I have a mass of Irish ancestors that I know lived in Canada - I have found census and marriage records of them, but I haven't been able to find a single one of them in any of the ships lists.
John/Robert/Agnes/Sarah and Mary Jane Bannon were all born in Ireland but ended up in Canada by about 1841. Caleb Ryan and his wife Ellen; daughter Dinah Jane all born in Ireland and in Canada by 1841. The Ballums - John/Catharine/Thomas/William and Isabelle all came over in about 1849 and all from Ireland.
I know they were born in Ireland and ended up in Canada but despite searching the ships list and the immigration lists, I can't find how, on what ship or exactly when they got here.