It wasn't common practice to record births back in 1807. Your best bet would be church christening or baptism record. As for middle initials sometimes they were used and sometimes not, just as we do today. Don't get hung up on the initial. I really think the death record is the best way to go. I found this family group sheet at familysearch.com. Remember this was put on by an individual so can't be entirely relied on to be correct.
Husband's Name John BRIGHT (AFN:197D-GL5) Born: 1807/1815 Place:, Cherokee, Nc Died: Place:, Knox, Ky Father: Mother: Wife's Name Susan BROUGHTON (AFN:197D-JNW) Born: 1813 Place:, Knox, Ky Father:William BROUGHTON (AFN:11HR-17F) Family Mother:Elizabeth NICHOLSON (AFN:197D-JMP) Children 1. Sex Name F Elizabeth BRIGHT (AFN:19ML-JFJ) Pedigree Born: Abt. 1840 Place: <, Knox, Ky> 2. Sex Name F Mary Polly BRIGHT (AFN:19ML-JJ5) Pedigree Born: Abt. 1851 Place: <, , Ky> 3. Sex Name F Nancy BRIGHT (AFN:19ML-JKC) Born: Abt. 1853 Place: , , Ky 4. Sex Name M James BRIGHT (AFN:1GMW-392) Born: 1840 Place: , Knox, Ky 5. Sex Name M Davis BRIGHT (AFN:197D-GNK) Born: 1849 Place: , Knox, Ky Died: Place: , Knox, Ky 6. Sex Name F Mariah BRIGHT (AFN:19ML-JHX) Born: 1849 Place: , , Ky 7. Sex Name M John BRIGHT (AFN:19ML-JLK) Born: 15 Jun 1857 Place: , , Ky Died: 7 Jan 1853 Place: , Knox, Ky 8. Sex Name M Wily BRIGHT (AFN:19MM-0FW) Born: 30 Jun 1838 Place: , , Ky Died: 15 Aug 1915 Place: , , Ky