My great-great grandmother was a Gaisford from Hilperton, Wiltshire, England. Hilperton is just North of Trowbridge. Her name was Hannah Merie Gaisford b. September 11, 1847. Her parents were James Gaisford Sr. and Anna (Rich) Gaisford. There were 8 children:
Emma Jane, Charles William (Henry), James Jr, Hannah, William, Anna, Samuel, Jene.

They settled in the area of Minonk, Illinois. I have more information, if you think it might match the Gaisfords in your line.