This might be your William Logan:
Hoosier Journal of Ancestry, Washington Co Special
p.59 (unknown if this is the same William Logan, but dates and location right.)
41 7 May 1816 Administration of Estate of William Logan to proceed to sell SW Qtr 17-3n-4
on Saturday June next.
90 1 Jun 1818 Jacob Hattabaugh is administrator of William Logan estate.
Hoosier Journal of Ancestry XI - 2 1986 issue page 149
Washington Co Will Index 1
Sarah Logan and Jacob Hattabaugh adm of William Logan
I'm not sure who the following Wm. Logan was:
Abstracts of Wills of Washington County Indiana 1808 - 1902, published by the Washington
County Indiana Historical Society, page 48
William Logan of Washington County, Indiana
Date: June 11, 1849 Probated: August 1, 1849
Recorded: Will Record 1, Pages 603 - 605
Wife: Margaret, and Son, James Ray Logan
Witnesses: John W. Scarborough and Asa White, Jr.
~
I show William LOGAN married one Sarah GRANT b. 1813 Barren Co, KY, d. before 1860 in
Washington Co IN.
They had at least 1 daughter: Matilda LOGAN b. c1813 KY, d. before 1859. Matilda married
19 Nov. 1837 in Washington Co, IN, to Benjamin F. BOLING, b. c1796 d. before 12 Apr
1853.
Children: Benjamin F, Jr. b. c1840; Anna Eliza b. c1843; James Allen b. 22 May 1845;
Zachariah T. b. c1847; Sarah Jane b. June 1849.