The marriage record image is listed on the family search website:
ht tps://familysearch.org/pal:/MM9.3.1/TH-266-11093-23002-90?cc=1452395
The witnesses were a John Quayle and a Margaret Quayle.
*************************************************
MARRIAGE:
Name: James Quayle
Age (Expanded): 28 years
Birth Year: 1852
Birthplace: Isle of Man
Spouse's Name: Catherine M. Newley
Spouse's Age (Expanded): 21 years
Spouse's Birth Year: 1859
Spouse's Birthplace: Isle of Man
Event Date: 22 May 1880
Event Place: Ishpeming, Marquette, Michigan
*************************************************