Karen, I believe you are correct that Lennie/Linnie D. Watson is the daughter of William Anderson Watson and Eleanor Shockley. The below censuses place them all together.
1850 Beat 6, Russell, Alabama Page: 48; Roll: M432_14 642/642 Anderson Watson - 45-m-Ga Nelly Watson -f-41-Ga Mary Watson - 15-f-Ga Winny Watson- 14 -f-Ga George Watson - 12-m-Al Thomas Watson - 11-m-Al Susan Watson - 08-f-AL Lucy Watson - 06-f- Al Newton Watson - 04-m Al Mary Watson - 02 - f - AL (ours, married William Monk)
1860 Beat 10, Russell co Beat 10 (south of Beat 7) Roll: M653_22 Page: 1090 834/832 WA Watson - 47- m- Ga E Watson - 46 - f- Ga Thomas Watson - 16 - m- Al H N Watson - 12-m - Al (may be HN Watson) Jane Watson - 11-f-Al C Watson - 09 - f - Al E Watson - 09 or 07 - f- Al
835/833 G Watson - 19 -m-Al Ann Watson - 16 -f- Ga
836/834 T J Weaver - 22 - m- Ga S Weaver - 16 -f - Al (Susan Watson) H Weaver - 01 -m -Al
837/835 J W Pitts - m- 19 -Ga L H Pitts - 20 - f- Al (Winny, Linny Watson)
Luily (sic) D. Watson married John W Pitts in Russell County, Alabama on 05 July 1860.
I have much information on Winny's sister,Mary Watson Monk's, family.