Harry Hunter, 1841-1906.
Wrote mostly for the Mohawk Minstrels from 1874. Joined Francis & Day music publishers 1886, retired 1903.
Repertoire:
"Boy's Best Friend Is His Mother" and 19 more
No listing for "Too Much of a Name."

James Francis 1840-1886
Co-founder of Mohawk Minstrels in 1867.
Some 30 routines listed, but not the one sought.
His "Spelling B" and "Mrs Brown and Her Luggage" suggest that he wrote this type of song.

Michael Kilgarriff, 1998, "Sing Us One of the Old Songs," Oxford Univ. Press.