You can find Elizabeth 13 with her father Frank in the 1891 census in Douglas.
McAlearney has been transcribed as McAlexander.
In 1881 James McLarney 14 is on a fishing boat "Thomas Brown" in Douglas.
Per Brian he had children with Bridget Kelly (marriage not found) and died Feb 5 1951 aged 87. They are in the 1901 census.