I am not entering full census notes. He can be found in the censuses as:

1880: Poke Birnon, age 36, in Menifee Co., KY with wife Rebeca age 30
1885: J. K. Byrom, age 38, in Harrison, Franklin Co., KS with wife R. A. age 36
1900: James K. Byron, age 53, b. Aug 1846, in Payne Co., OK with wife Rebecca A age 51 b. Nov 1848
1910: James K. P. Byrom, age 64, in Pawnee Co., OK with wife Rebeckah age 60
1920: James K. Byrom, age 73, in Talleyrand, Wilson Co., KS, widowed