There were two possibilities for your James Henry UNTIL I looked at the posibilities for Catherine.
This James H. HOWARD is living only SIX households away, from your Mary Catherine (at least that is what I BET the young ladies name was.)
1880 Bush Creek - Scioto Co., OH page 24B James Howard - self - 54 - OH - Laborer - KY - VA Mary Howard - wife - 44 - OH - Keeps House - KY - OH William Howard - son - 23 - OH - Works on Farm James H. Howard - son - 19 - OH - Laborer ********
Six household away was
1880 Bush Creek - Scioto Co., OH - Page 25A Joseph Thompson - self - 47 - OH - Farmer - PA - VA N. Jane Thompson - wife - 42 - Keeps House - PA - IRE William Jackson Thompson - son - 24 - OH - Laborer Mary C. Thompson - dau - 21 - OH - At Home ********* John W. Thompson - son - 19 - OH - Works on Farm Eliza J. Thompson - dau - 14 - OH Laura C. Thompson - dau - 11 - OH Eva A. Thompson - dau - 8 - OH David P. Thompson - son - 6 - OH Lizzie E. Thompson - dau - 1 - OH
There were NO CATHERINE THOMPSONs listed in or around Scioto County.A great part of the time, when a person became an adult, they didn't like their given name, and went by their middle name.