This probably doesn't answer your question but may help a bit.
In the 1900 DeKalb Co., AL census Lee W Whitt and 3 siblings ages 10 to 19 are living alone as if they were orphans.
An IGI contributed record says Lee W was the son of Albert G Whitt. This is probably not correct. Grandson is more likely.
This is Albert Green Whitt who reportedly died 23 Aug 1890. So the 4 siblings of 1900 probably were orphans in a sense.
The 1880 Cherokee Co., AL census has Green (1810 NC) and wife Ruthy (62 NC) Whitt, Their single children Jefferson (19 AL), daughter Sarah (29 AL) and 3 Whitt surname grandchildren (ages 9, 12,14) are in the H/H. The ordering of Jefferson and Sarah suggests Sarah might be the mother of the children.
The Albert G Whitt family may be found in the 1870 Jackson Co., AL census. Apparent children Sarah (26) and Jeff Davis (9) are there and 4 additional children but none of the grandchildren from 1880.
The Albert G and Rutha Whitt family is in 1860 Cherokee Co, AL with 7 children including Sarah (18).
The A. G. and Ruth Whitt family are in 1850 Cherokee Co. with 6 children including Sarah (9).
Altogether Albert and Ruth Whitt had 9 children so there are a lot of potential parents to investigate for your Lee Watson Whitt.
Have you looked for a death certificate of Lee W? The death certificates of the 3 siblings from the 1900 census also might name their parents.