I have the following which does not quite match up with your information.Maybe you can correct my errors.
1.Do you have an uncle Charles C Rule b. abt 1926?
2.I have a Lyman Henry Rule b. 25 Feb 1893, Middleton, Gratiot, Michigan, m. Eva V (Viola?) Burge (not Bordon) b. abt 1900, Ohio.
3.Lyman's parents George Franklin Rule, b. Aug 1857, Ohio, Mary Francis Webster, b. Sep 1859, Ohio, m 1885, 4 children.
4.George's parents, Harrison Rule b. 1827, Ohio, Rebecca 1832, Pennsylvania, m. abt 1853, 4 children.(Does not match your Adam and Louisa..so I assume I have made an error)Harrison M. Elizabeth 1865, 6 children.
5.Harrison's parents George b. 1791, Pennsylvania, Sarah Fessler b. 1789, Pennsylvania.