The Kate Burchill to whom you refer was born in 1860, the first child of Abraham Burchill & Honora O'Leary. She had 5 sisters & 2 brothers. 3 of them went to the US in 1901, Mary, Ellen & Abraham.
There were 4 others born, Eliza, Johanna, Hanora & Samuel. Hanora was the last of the family to live in Gorteenalomane.
My Greatgrandmother was Eliza Burchill, sister of Abraham Senior who married Honora o'Leary.