You don't say what else you know about the family, so I'll go over what I can find and see what clues we can get for James. Forgive me if you already know some or all of this, perhaps someone else will find it useful.
I see that the Reynolds/Whiteaker marriage took place in Petersburg,
Crawford,
Wisconsin. Amanda then married second husband Edwin/Edward P. Russell 4 Oct 1903 in Lynxville. Edwin's third marriage, previously married to
Hannah Smith and to Mary Eliza
Sutton.
1910 census has the Russell family in
Seneca, including step-daughter Bessie
Reynolds born about 1901 in
Wisconsin. This suggests that we might find James
Reynolds somewhere in 1900. Amanda born about 1882.
1920 has Bessie still living with the Russell family, but now married to Glenden
Copus. (Tracing Bessie on the chance her descendants would have info about James.)
1930, the
Russells are in Rockton, Illinois; now with a granddaughter Evelin M. Copus. Evaline is also enumerated with her parents Glenn and Bessie on the previous page. Two other
Copus children: Donald L. and Marie M.
1900 census shows an Amanda
Whitaker age 19 in Scott,
Crawford,
Wisconsin. Looks like your Amanda back with her mother Eliza, Bessie not yet born. The census markings are a little unclear. Amanda is either married or widowed; number of years married shown as "X"; children shown as "0 0".
1880 census shows William and Eliza
Whiteaker in Scott,
Crawford,
Wisconsin -- Amanda born later that year.
WWI Draft Reg has Glen
Copus in
Crawford, Wisconsin; born 2 Jun 1898.
SSDI has Glen
Copus died Jan 1983 in
Beloit, Rock,
Wisconsin -- looks like Bessie and family moved back to
Wisconsin sometime after 1930. Beloit city directory shows them there in 1936.
Various census records show Glen is son of George
Royal Copus and Ruby
Smith Copus.
Donald L. Copus appears to have died in
Oregon, 2002, possible children still there.
Found one reference to a funeral for someone with grandparents Fred and Essie
Fisk and Glenn and Bessie
Copus. Seemed to be the
Woods Funeral Home in Fairbank,
Iowa. Parents perhaps William and Leona
Fisk of Readlyn IA. No other info and the search hit no longer exists. Is Leona
Fisk one of Bessie's daughters?
Unfortunately, there doesn't seem to be any more direct info on James Peter
Reynolds. Speculation is that he is the son of John and Elizabeth, seen in 1880 Kendall,
Lafayette,
Wisconsin. I could find nothing relating to him between 1896 and 1900.
Not sure how this would connect in, but there are postings claiming that Amanda Elizabeth
Whiteaker of
Crawford County WI had a son in 1895 named Lionel Ishimo
Noggle. No sign of a Noggle/Whiteaker marriage.