— born in Huntington Co., PA, or OH:
  6.  (Mary?) Elizabeth HALL, b. 12 Apr 1805 
  7.  Samuel L. HALL, b. 3 Oct 1807 — may be this Samuel HALL
  8.  Ruth HALL, b. 18 Jan 1812; alive and unmarried on 23 Aug 1831
  9?  (Son A) HALL, b. 1810-1815; d. bef. 23 Aug 1831
10?  (Son B) HALL, b. 1820; d. bef. 23 Aug 1831

1.  1790 Census Images (online at Ancestry.com):

1790

PA

Huntingdon Co.

p. 123

William Hall

02-01-04-00-00

There is only one William HALL in the county, and his data do not fit our subject. 

2.  Census Index:  U.S. Selected Counties, 1800 (Broderbund CD-312).  Please see my WARNING regarding use of this database (the numerical data have the genders switched). 

1800

Hall, William

PA

Huntingdon Co.

p. 146

10010-3001000

These data should read:

30010-10010-00

which indicate:

No. & Sex	Age Class	Therefore Born	Individuals Inferred
3 males	9 or under	1790-1800	= Obadiah (b. 1797) = Amos (b. 1794) = Joel (b. 1792)
1 male	26-44	1755-1774	= William (b. 1767)
1 female	9 or under	1790-1800	= Anna (b. 1799)
1 female	26-44	1755-1774	= Jane (b. 1767)

There was another William HALL in the county, but only this one's data fit our subject. 

3.  Census Index:  U.S. Selected Counties, 1810 (Broderbund CD-313).  Please see my WARNING regarding use of this database (the numerical data have the genders switched). 

1810	Hall, William	PA	Huntingdon Co.	West Twp.	p. 29
1810	Hall, William	PA	Fayette Co.	Luzerne Twp.	p. 90
1810	Hall, William	PA	Greene Co.	Whitely Twp.	p. 35
1810	Hall, William	PA	Washington Co.	Hanover	p. 45
1810	Hall, William	VA [now WV]	Ohio Co.		p.  6	21010-2000100

There is only one William HALL in Huntingdon Co., and he is still there in 1820, so he is not our subject.  Our subject may be one of the William HALLs in southwestern PA or WV, as related families lived in the region before moving to OH.  The 1810 Ohio census was lost, so that is where our subject may be. 

4.  Family Quest Archives:  Ohio Federal Census 1820:  Clark, Coshocton, Gallia, Hocking, Huron, Knox, Lawrence, Meigs, and Monroe Counties.  Heritage Quest CD M33-88 (extracted by Diana Gale Matthiesen).

1820

OH

Knox Co.

Jackson Twp.

Image #143

p. 90

Wm Hall

200011-01001

These data indicate:

No. & Sex	Age Class	Therefore Born	Individuals Inferred
2 males	9 or under	1810-1820	= Son? B (b. 1820) = Son? A (b. 1810-15)
1 male	26-44	1775-1794	= Amos (b. 1794)
1 male	45 or over	in or bef. 1775	= William (b. 1761/2)
1 female	10-15	1804-1810	= Elizabeth (b. 1805)
1 female	45 or over	in or bef. 1775	= Jane (b. 1765/6?)

Where is Samuel? Ruth? Obadiah?  The other William HALL is still back in West Twp., Huntingdon Co., PA. 

5.  Family Quest Archives:  Ohio Federal Census 1830:  Jackson, Jefferson, Knox, Lawrence, and Licking Counties.  Heritage Quest CD M19-134 (extracted by Diana Gale Matthiesen).

1830

OH

Knox Co.

Jackson Twp.

p. 213

Hall William

010 122 001 - 000 100 010

These data indicate:

No. & Sex	Age Class	Therefore Born	Individuals Inferred
1 male	5-9	1820-1825	= Son? B
1 male	15-19	1810-1815	= Son? A
2 males	20-29	1800-1810	= Samuel (b. 1807)
2 males	30-39	1790-1800	= Obadiah (b. 1797) = Amos (b. 1794)
1 male	60-69	1760-1770	= William (b. 1761/2)
1 female	15-19	1810-1815	= Ruth (b. 1812)
1 female	50-59	1770-1780	= Jane (b. 1765/6?)

Jane appears to be fibbing about her age; either that or her age in the 1850 Census is wrong, which it almost has to be if the youngest boy is really her child.  See table for neighbors. 

6.   Family Quest Archives:  Ohio Federal Census 1840:  Knox County.  Heritage Quest CD M704-406 (extracted by Diana Gale Matthiesen):

1840

OH

Knox Co.

Jackson Twp.

p. 400B

Wm Hall

000 100 100 100 - 000 010 001 000

These data indicate:

No. & Sex	Age Class	Therefore Born	Individuals Inferred
1 male	15-19	1820-1825	= Son? B
1 male	40-49	1790-1800	= Obadiah (b. 1797)
1 male	70-79	1760-1770	= William (b. 1761/2)
1 female	20-29	1810-1820	= Ruth? (b. 1812)
1 female	60-69	1770-1780	= Jane (b. 1765/6?)

Jane appears to be fibbing about her age; either that or her age in the 1850 Census is wrong.

7.  Family Quest Archives:  Ohio Federal Census 1850: Knox County.  Heritage Quest CD M432-700:  Jackson Twp., Knox Co., OH, p. 389A, 2345/2405, enumerated 19 Sep 1850 (extracted by Diana Gale Matthiesen):

William Hall	88	M	Farmer		Md
Jane     "	84	F			do
Obadiah Hall	53	M	do	6000	Penn
Mahala   "	40	F			do
[Obadiah & Mahala's children]

The location could be read as either "Ma" or "Md," but as we know Jane was born in MD, then it has to be MD.

8.  U.S. Dept. of the Interior, Bureau of Land Management. The Official Land Patent Records Office.

Date	Certificate No.	Land Office	Patented By	Acres	Aliquot Section.Township.Range	State
2 Oct 1826	1211	ZANESVILLE	William Hall of Knox County OHio	80	E½ SW¼ S14.T8N.R11W	OH

9.  Knox Co., Ohio, Deed and Indenture Records. Gateway to the West. Vol. I. (Broderbund CD-175).  On p. 692:

8-23-1831 - George WOLFE and Sarah his wife to Obediah HALL and others.  Obediah Hall of Knox Co. and Amos Hall late of Knox Co., dec'd, did in the lifetime of said Amos become purchasers and tenants in common.  Said Amos departed this life before deed of conveyance could be executed leaving heirs:--Obediah Hall, Joel Hal, Anna wife of Samuel Wheeler, formerly Hall, Mary wife of Israel Dillon formerly Hall, Elizabeth wife of James Griffith formerly Hall, Samuel L. Hall and Ruth Hall -- $800. -- NW¼ Section 8, Township 5, Range 10 of lands sold at Zanesville.  (Deed Book J, page 320)

Amos and his heirs are William & Jane's children.

10.  LDS.  Family Search: Internet Genealogy Service:  AF - Ancestral File (online at FamilySearch.org).

11.  WorldConnect / Ancestry World Trees (online at RootsWeb.com/Ancestry.com).  Primarily the genealogy of Israel DILLON.

12.  Messages in the Hall Family Genealogy Forum (online at GenForum.com).