Thank you for your information. I have most of this from my research. While James Carter (1761 - 1832) could be William Carter of 1796 father, Sarah Freel is not hismother. According to the marriage record for James Carter and Sarah Freel from the Warren County Genealogical Society they were married February 23, 1804 approximately eight years after William Carter was born. James Carter would have been about 43 years old in 1804 and could have been married before coming to Ohio. My thought is that his wife died either in route to Ohio or after they arrived leaving him with at least one child, William Carter. James Carter probably married to have someone help raise his child as well as for companionship.
In Jack T. Hutchinson's publication "A Quaker Migration to Southwestern Ohio"March 1996, obtained from the Allen County Public Library, Ft. Wayne, Indiana,he quotes "Beer's History of Warren County, Ohio states that Joseph Carter and his brothers James and Joshua, together with Joseph Kirby, James Wills and Jonathan and William Garwood Pioneered west in what was to become Warren County. Most settled in future Clear Creek Township with some of the Kirbys establishing their farms in what would become Turtle Creek Township."
Further he says:
"Joseph Carter, Sr and Mary Gaskill
"Joseph Carter, Sr Jul. 7, 1729 - Jul. 7, 1798 m. Jan. 2, 1757 to Mary Gaskill, June 3, 1739 (or 1737) - June 14, 1814...
"Joseph Carter, Sr and Mary (Gaskill) Carter are buried in KirbyCemetery (Note: Now called Turtle Creek Cemetery), north of Lebanon, Ohio. Their children were:
"1. Mary Carter, c.1759-. No more is known of Mary by this complier.
"2. Joseph Carter, Jr. Nov. 26, 1760 - Feb. 26, 1831, Joseph married a woman by the name of Hannah_______.
"3. Joshua Carter. Nov 26, 1760 (or 1769) - Feb 26, 1831 m. 1st to ____________< after 1806 m. 2nd to Garthery (Brooks) Merritt, Mar 26, 1764 - Feb. 16, 1852, widow of Abraham Merritt, 1758 - 1806. (Joseph Carter, Jr and Joshua Carter may have been twins.)
"4. James Carter, 1761 - 1832, m Feb 23, 1804 to Sarah Freel ____ - 1827.
"5. Sarah Carter, Sept. 20, 1764 - Feb. 15, 1847, m. Joseph Kirby, Feb. 3, 1760 - June 22, 1832."
On Page 5 of this publication Mr Hutchinson continues with the children of James Carter and Sarah Freel:
"James CArter(#4 on paage 2), 1761 - 1832, m. FEb 23, 1804 inWarren County, Ohio to Sarah Freel, _____ - 1827. They are buried in Kirby Cemetery. They had eleven Children:
1. Elizabeth Carter 1805-Jul.7, 1840....
2. Sarah Carter (My note: No date of birth)
3. Mary Carter (My note: No date of birth)
4. Nancy Carter (My note: No Date of birth)
5. Rachel Carter (My Note: No date of birth)
6. James Carter, Jr. 1813 - ______.
7. Joseph Carter (MY note: No date of birth)
8. Joel Carter (My note: No date of birth)
9. William Carter m. (possibly to Rachel Brennaman on Mar. 1, 1825)
10. Robert Carter (My note No date of birth)
11. One Child must have died young, as the child is not listed."
If William Carter was the ninth child of James Carter and Sarah Freel,he would have been in his early to middle teens and with Rachel Brenneman being born in 1802 and 21 at the time of her marriage the dates don't match up as William is six or seven years older than Rachel according to the U.S, Census reports.
It looks like James Carter (1761) could be William Carter's father, but Sarah Freel is not William's mother.
Again, Thank all of you for your information. I do appreciate all of your efforts.