Dorothae is the German spelling of the English name, Dorothy.  Dorotha appears to be a misspelling of Dorothae.

— born in PA or VA:
.  Jacob CULP, b. 25 Mar 1786; d. 9 Aug 1831

— born in Rockingham Co., VA:
.  Maria Magdalena / Mary Magdalene CULP, b. 1 Dec 1787  {62, VA} 
.  Christian CULP, b. 12 Sep 1790 
.  Sarah "Sally" CULP, b. 1793 
.  Benoni CULP, b. ca. 16 Aug 1799, Rockingham Co., VA 
.  David CULP, b. ca. 1804, Rockingham Co., VA [now WV] 
.  (Daughter A) CULP, b. 1804-10
.  (Daughter B) CULP, b. 1810-15

Hannah and Jacob's birthdates can't both be correct. 
Some sources also give them a son, John CULP.

1.  Marriage Record:

2.  Census Index:  U.S. Selected Counties, 1790 (Broderbund CD-311):  not found, but the 1790 Virginia census was destroyed.

3.  Census Index:  U.S. Selected Counties, 1800 (Broderbund CD-312):  not found, but the 1800 Virginia census was destroyed.  There was no 1800 census of Ohio, but the CD substitutes tax lists where available.•

1806 Tax List	Culp, Henry	OH	Fairfield Co.	p. 18
1806 Tax List	Culp, Henry	OH	Fairfield Co.	p. 56

Henry's son, Henry, is said not to have come to Ohio until 1830, so who is the second Henry?  Or was there a mistake in transcription and one of the years is not 1806?  Henry is the only CULP/KOLB/etc. in Ohio on this CD.

4.  Census Index:  U.S. Selected Counties, 1810 (Broderbund CD-313):  not found, but the 1810 Ohio census was destroyed (except for Washington Co.).

5.  1820 Census Index and Digital Images (online at Ancestry.com; Image #3 of 3; extracted by Diana Gale Matthiesen):•

1820

OH

Fairfield Co.

Pleasant Twp.

p. 91

Henry Culp

001101-11001-0-100

These data indicate:

No. & Sex	Age Class	Therefore Born	Individuals Inferred
1 male	16-18	1801-1804	= David (b. ca. 1804)
1 male	45 or over	in or bef. 1775	= Henry (b. 1762)
1 female	9 or under	1810-1820	= Daughter B
1 female	10-15	1804-1810	= Daughter A
1 female	45 or over	in or bef. 1775	= Dorothae (b. 1760-70)
1	person engaged in agriculture
*In the 1820 Census, the third column is age class 16-18 and the fourth column is age class 16-25; therefore, any individual in column three is duplicated in column four.

6.  1830 Census Index and Digital Images (online at Ancestry.com; Image #15 of 22; extracted by Diana Gale Matthiesen):•

1830

OH

Fairfield Co.

Pleasant Twp.

p. 247

Ln. 25

Henry Culp

000 000 001 - 010 100 001

These data indicate:

No. & Sex	Age Class	Therefore Born	Individuals Inferred
1 male	60-69	1760-1770	= Henry (b. 1762)
1 female	5-9	1820-1825	= granddaughter?
1 female	15-19	1810-1815	= Daughter B
1 female	60-69	1760-1770	= Dorotha

Dorotha is too old to have a daughter born in the 1820s.  Listed one line above son, David CULP.

7.  1840 Census Index and Digital Images (online at Ancestry.com; Image #11 of 22; extracted by Diana Gale Matthiesen):•

1840

OH

Fairfield Co.

Pleasant Twp.

p. 313B

Ln. 18

Kulp Henry

000 000 000 100 - 000 100 000 100

These data indicate:

No. & Sex	Age Class	Therefore Born	Individuals Inferred
1 male	70-79	1760-1770	= Henry (b. 1762)
1 female	15-19	1820-1825	= ?
1 female	70-79	1760-1770	= Dorotha

List was roughly alphabetized.

8.  Robert C. Culp.  Descendants of Johann Phillip Kolb.  FamilyTreeMaker User Home Page, which includes these land purchases by Henry CULP:

Purchased 648 acres in Walnut Twp., Fairfield Co., OH, on 5 May 1804 (sec 29).  Purchased 160 acres in Pleasant Twp., Fairfield Co., OH, on 22 Oct 1805 (sec 15, NW).  Purchased 160 acres in Walnut Twp., Fairfield Co., OH, on 30 May 1806 (sec 13, SW).  Purchased 160 acres in Walnut Twp., Fairfield Co., OH, on 31 May 1811 (sec 13, SW).  Purchased 160 acres in Walnut Twp., Fairfield Co., OH, on 25 Sep 1811 (sec. 26, SW).  Purchased 160 acres in Pleasant Twp., Fairfield, Co., OH, on 30 Sep 1811 (sec 15, NW).  Bought land in Hancock Co., OH, on 24 Apr 1830 that was later parceled to two of his sons (Benoni and David).

9.  WorldConnect / Ancestry World Trees (online at RootsWeb.com/Ancestry.com).