Nearly ALL the McCarthy come from somewheere in COUNTY CORK , although there are some from Dublin.
You need to find out which village or town your McCarthy originate from & then look up baptisms in the correct parish on www.genealogy.ie
All McCarthy are related IF you can go back far enough. they are also intermarried with the other important families in what was known as Munster.
Try looking for an immigration record - like what boat they went to Ontario on. It may just have more info.
Flaring is an uncommon name so try looking for Bridget.
My public tree "Josephine Salt FamilyTree Halloweeen 2012" has lots of McCarthy. My line is McCarthy Reagh who are an offshoot of McCarthy Mor (a low king - bit like an English Earl). You can look up the McCarthy pedigree online.
DO NOT just copy from ancestry trees as too manypople do this without verification.
MY McCarthy is all verified.