familysearch.org 9-4-1883 William J HAMPTON 22 b Canada m Ameklia A SWITZER, 19 b Germany, West Bay City, Bay Co MI
Sault Ste Marie, Chippewa MI 4-24-1911 William J HAMPTON 49 hoopmaker s/o James HAMPTON/Mary WRIGHT m Mrs May FETTROFF 38 resides Onoway MI d/o William DRAY/Jennie YOUNG by Wm M SMITH, Prob Judge; witnesses: Henry HAMPTON, Pearl THOMAS
Don't know why he went by Henry, as his name is clearly Harry N HAMPTON on birth record, and 1900 census. 1910 Wm, Henry, Geo and Earl in Presque Isle Co; Arthur in Macomb MI
I suggest you contact Bay Co MI for divorce record.