I had the Univ. New Hampshire Milne collection reference, before. Their copy is not by Kerrigan:
"The Bright Mohawk Valley
Copyright Date: 1935
Composer unknown, Lyricist unknown
Arranged by: Nick Manoloff
Performer: Patsy Montana
Publisher: Calumet Music Co."

Theit copy seems to be in a book of western songs published by Calumet.

The Library of Congress search Number 1622k turns up songs by Kuhns, Kelly, Keller and Kennedy under 'K' but no Kerrigan.
Search for James J. Kerrigan leads to a book on investing.
Lomax and Sandburg
Bright Mohawk Valley, or In the Bright Mohawk Valley (cited in Fuld)provide 0 results.

Still no beef. Did you get the text of the song from Fowke's paper?