Research notes:
There are no 'Whitworth' surnames listed in the 1860 Butler Co., MO Federal Census Index
(need to investigate Cape Girardeau & Stoddard Co., MO census)

1860 Aug 4 - Randol Twp., Cape Girardeau Co., MO Federal Census; pg 212 (lines 35-10)
Dwlg 1525/Fam 1537
WHITWORTH, Alex - 31 - Farmer - real est val (blank) / prsnl prop $350 - b. TN
Lavina J. - 28y/o - b. TN
Susan E. - 8 - (birth state is blank on all the children)
Lavina M. - 6
Mary D. M. - 4
Alfred N. - 1 (think this is John Alexander!)

1870, June 28 - St. Francis Twp., Butler Co., MO Federal census; page 17; enumerated by John M. Casebol; dwelling/family #5:
WHITWORTH, Alexander - 41y/o - m - Farmer - $400 - $249 - b. TN
Lavina J. - 37 - f - Keeping house - TN
Susan E. - 17 - f - At home - MO
Lavina M. - 16 - f - at home - MO
Mary D. - 14 - f - At home - MO
John A. - 8 - At home - MO
Rodie A. - 2 - At home - MO

(haven't researched this information but suspect there is a kinship between Alexander & 2 other WHITWORTH men also living in close proximity, both born in Tenn. - Fields, 63y/o & wife Ann, 45, living 3 houses down, & living next to him is Elias, 33, who may have been widowed - he had 3 children, daughter Philis A. - 8 & sons Andrew - 3, & 8 month old Fields.)

1876 Butler Co., MO STATE census ('every name' enumeration of the population) located in the area of Township 25, Range 7 (living in close proximity to the Jacob & Jane Meadors family in, what is now known as St. Francis Twp):
WHITWORTH, Alexander - male - age 47
WHITWORTH, John A. - male - 14
WHITWORTH, James H. - male - 3
WHITWORTH, Lurinay - female - 45
WHITWORTH, Mary D. R. - female - 20
WHITWORTH, Roda A. - female - 9
WHITWORTH, Hinda - female - 6

1880, June 17 - St. Francois Twp., Butler Co., MO Federal census; pg 22, sheet stamped 570b, lines 26 - 31, dwelling #195/family #196:
WHITWORTH, Alexander - w - m - 51 - farmer - TN/TN/TN
Lavina J. - 48 - wife - keeping house - MO/TN/TN
John - m - 18 - son - farmer labor - MO/TN/TN ... (John Albert)
Roda A. - f - 12 - daughter - MO/TN/TN
Belle L. - f - 9 - daughter - MO/TN/TN
Jarvis F. - m - 6 - son - MO/TN/TN ... (James)

1900 June 1 - St. Francis Twp., Butler Co., MO census; pg 45A, sheet 1, lines 19-23
Dwlg/Fam 5
WHITWORTH, Alexander - head - May 1829 - 71yr - mdx5yr - TN/TN/TN - farmer - owns mortg farm
Nancy A. - wife - June 1855 - 45y/o - 8 children/6 living - MO/MO/MO
CAVE, William A. - grandson - June 1894 - 5 y/o - MO/MO/MO
SHAMBLIN, William R. - stepson - July 1866 - 33y/o - single - MO/MO/MO - farm labor
JACKSON, Cora E. - stepdaughter - Feb 1884 - 16y/o - MO/MO/MO

Several notes of interest:
1) I suspect that William A. CAVE is the son of John R. CAVE & Alexander's deceased daughter Rhoda Ann. John R. Cave is living nearby with a new wife, Carrie.
2) William R. SHAMBLIN is Nancy's son by her first marriage to a William Shamblin - he & mother Nancy are enumerated living alone together by the 1910 census.
3) Cora Ellen (Ham) Jackson is by Nancy's 2nd husband, James D. Ham.

By the 1910 census - wife Nancy Whitworth is listed as a widow.

Note: No legible Headstone or marker found as of 5-14-2015