The only information I have on Jacob is taken from Arlene Parman's book. She states Jacob was, indeed, Giles son, born 1795.However, the remainder, with a couple of exceptions does not agree with your information. She states Jacob married a Desey woman, listed in the 1830 census of Lafayette County MO. County land records show that on Aug. 7, 1832 Jacob purchased 40 acres in T-47, R-26, which is now part of Johnson County MO., for $70.00 cash in hand. The 1830 census of Lafayette Co. MO showed 1 male under age 5, 1 male age 5 - 10, and 1 male age 30 - 40. 2 females under age 5, 1 female age 5 - 10, 1 female age 10 - 15 and 1 female age 30 - 40. The children listed are Henry b. 1820-1825 went to CA and was never heard from again; Katherine b. 1820-25, m. 8/2/1846 to Shackley Adams; William H., b. 1827; daughter b. 1820-25; Susan b. 11-11-1830 m. Thomas Adams and d. 8-15-1910; J. T. b. 1831 married 3-9-1848 in Clark Co. MO to Elizabeth S. Wood, b. 1837. Married 2nd 5-8-1873, Alvina J. b. 1848 in KY, listed n Johnson Co, MO in 1860 and in Chautauqua Co. KS in 1880. Children are not separated by wife, but fairly accurate assumptions can be made as to which child belongs to which wife by birth dates of children. They are as listed: William S. b. 1858; Rachel C. b 1860; George b 1862 listed in 1900 Oregon census living alone; Thomas J. b. 1864; John T. b 1869 never married; Oliver Morton b 11-3-1877; Stella M. b 1880; Walter b. 1887 d 1950's, he was in the Navy many years and lived in Seattle with three step children.
There is additional information on William S., Thomas J., Oliver Morton. If you need that info let me know.It looks like this Jacob is your Jacob but I have no explanation for the different children's names unless someone has children and grandchildren confused.
Let me hear from you and we can further compare notes. My email is: firstname.lastname@example.org Please write me directly as it makes correspondence much more rapid and a little easier.
Hope to hear from you soon.
OK - I'm leaving the above because it does give some information. HOWEVER, in going over your note more carefully, I note the differences in names may be the difference of first and middle names. I show Jacob had a daughter Katherine who married Shockley Adams which agrees with you.I show Susan married Thomas Adams and Sara is frequently used as a nickname for Susan. and I show John Tipton did marry Elizabeth Wood. I show William H. as compared to your William A. married 1st, Rachel and married 2nd Rachel C. Wood b. 1842. They lived in Johnson Co. MO in 1860 and 1880. He fought in the Civil War.
Let me know if you are interested. I have an account of his Civil War service. Rachel and William are listed in the above census. Rachel is listed in the 1900 Oklahoma Co. OK census.