Mary and her children were living in Carrowcanada in the 1911 census http://www.census.nationalarchives.ie/pages/1911/Mayo/Swineford/Carrowca...
I located the 1921 Canadian census. Mary said that she emigrated in 1910 (a year off) and Andrew in 1909. No mention about their first crossing.
Have you considered looking at Ellis Island incoming records to see when Andrew and Mary arrived in America the first time? www.ellisisland.org