From the book A HISTORY OF NEW MILFORD [Pennsylvania], compiled and written by New Milford Historical Committee, published by New Milford Centennial Committee, 1959:

Morse, Squire H., born 1813 Franklin Two. [Township?]; arrived New Milford in 1848; left New Milford in 1860; occupation: station agent.

Children to Squire H. (no wife mentioned):
Henry
William
J. E.
C. F.
Bert
Daughter, married C. M. Kishpaugh
Daughter, married F. P. Oberholser

There are other Morse genealogies listed for Calvin, Charles, Edward, and Jesse. If interested, please email me.

P.S. Jesse Morse second married Bessie Hardy Smith. Does Bessie's name ring a bell?