Judging by the burials in the parish of Patrick the Farghers lived at Ballagey ( Ballnygeay) in lower Foxdale near the boundary with Marown.
An explanation of the farm name and variations can be found in Manx Notebook.
Thomas appears to be the son of Clucas Fargher and Isabella Mylchreest. Clucas is a first name repeated through the generations.
A number of children of Thomas and Eliza died young but there appears to be a Louisa living with another Faragher family in 1881 at Ballaquinney Beg Marown. This family has been enquired upon recently. They also come from Patrick and may be connected.
There is a burial for a Thomas Faragher in Patrick, Ballergey June 5, 1877 age 69.
Eliza Key appears to be the daughter of Robert Key and Anne Craine . There is a burial for an Eliza Fargher in Patrick June 15 1872 age 49.
Do the burial dates fit in with yours census?
Len Faragher