I had a great great uncle, John Cave, who immigrated to the
USA in 1850 from Co. Monaghan. He was said to have had a
brother, I believe, named Henry. Don't know if there is any
connection.

I have been in contact with a Vera Cave, Co. Donegal, and she sent me information on a number of Church of Ireland
clergy named Cave. One of her great grandfathers was Henry
Cave (1852-1935), and he had a son named Henry Carr Cave. She also said Henry Carr Cave had a son, Frank, who lived
in England.

Don't know if any of this is helpful.

Jack