— born in Berkeley Co., VA [now WV] or Shenandoah Co., VA:
3.  Sarah "Sally" STROOP, b. 1780-84 — stayed in Shenandoah Co., VA
4.  Mary STROOP, b. 1781/2 — settled in Highland Co., OH
5.  Jacob STROOP, b. 1783/4 — settled in Highland Co., OH 
6.  Catharine STROOP, b. 1784-94 — not born in 1805; m. 1825, Jonathan MOORE; settled in ?
7.  George STROOP, b. 1790-94 — stayed in Shenandoah Co., VA

Catharine's birth year is given/estimated as 1805, presumably because her marriage year is solidly documented at 1825, but such a birth year raises serious questions.  No woman who bore a child in 1772 could possibly still be bearing children after 1800 or even after 1795, and the 1810 Census shows no child in their household born later than 1794.

1.  Jordan R. Dodd, ed.  1993.  Virginia Marriages:  Early to 1850.  Liahona Research, Orem, UT (Broderbund CD-229):  not found.

2.  Census Index:  Colonial America, 1607-1789 (Broderbund CD-310):

1776 Rent Roll	Stroop, William	VA	Berkeley Dist.
1777 Rent Roll	Stroop, Wm.	VA	Berkeley Dist.

Also on the Berkeley District Rent Rolls:  William's brothers, Melchior, Henry, and Jacob.

3.  1790 Census Index/Images (online at Ancestry.com):  not found, but the entire 1790 Virginia census was destroyed.

4.  1800 Census Index/Images (online at Ancestry.com):  not found, but the entire 1800 Virginia census was destroyed.

5.  1810 Census Index/Images (online at Ancestry.com; Image #24 of 82; extracted by Diana Gale Matthiesen):¤•

1810

VA

Shenandoah Co.

Roll M252_71

p. 187

Ln. 19

William Strupe

00211-00201-00

These data indicate:

No. & Sex	Age Class	Therefore Born	Individuals Inferred
2 males	16-25	1784-1794	= George = Jacob (b. 1783/4)
1 male	26-44	1765-1784	= Henry (b. 1775/6)
1 male	45 or over	in or bef. 1765	= William (b. 1743)
2 females	16-25	1784-1794	= Caroline = Mary (b. 1781/2)
1 female	45 or over	in or bef. 1765	= Anna Maria

The William STROOPE in Frederick County is too young to be our subject, so despite the spelling here, I think this must be our subject, especially as two of his children are on page 190 and, despite their age, the other children do not show up as married heads-of-households, anywhere.  Also, the fact that William left land in Shenandoah County to his heirs in 1816-18 clearly shows he was living in Shenandoah County, not Frederick County.

6.  1820 Census Index/Images (online at Ancestry.com; Image #11 of 13; extracted by Diana Gale Matthiesen):¤•

1820

VA

Shenandoah Co.

Isabella Furnace

Roll M33_138

p. 28/163B

Ln. 12

George Stroup

000100-00101-0-100

no slaves

These data indicate:

No. & Sex	Age Class	Therefore Born	Individuals Inferred
1 male	19-25*	1794-1801	= George
1 female	16-25	1794-1804	= Catharine
1 female	45 or over	in or bef. 1775	= Anna Maria (b. ca. 1747)
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.  By subtracting the number in column three from the number in column four, you can create an age class "19-25."

George is old enough to be married, so the young female may be his wife, but Anna's daughter, Catharine, didn't marry until 1825, so the young female is probably his sister.  Listed next to Anna's son, Henry STROOP.

7.  LDS.  Family Search: Internet Genealogy Service:  IGI - International Genealogical Index (online at FamilySearch.org).

William STROOP Birth: 10 Mar 1743, Pennsylvania Death: About 1818 Marriage: 1776, Frederick, Virginia Spouse: Anna Maria HOTSINPELLER / HOTSINPILLER Birth: 1747, Opequo Creek, Shenandoah Valley, Virginia Death: About 1820, Frederick, Virginia Source: patron submission

8.  LDS.  Family Search: Internet Genealogy Service: Pedigree Resource File (index to CDs, online at FamilySearch.org).

William STROOP Birth: 1743 Spouse: Anna Maria HOTZENBELLA Birth: abt 1747; Place: Frederick, Virginia Father: Stephen HOTZENBELLA (c1720-1776) of Germany Mother: Elizabeth BRUMBACK (1715-bef 1776) of Virginia Source: patron submission

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

Husband: William STROOP; Birth: 10 Mar 1743, Pennsylvania; Death: About 1818 Marriage: About 1776, Frederick, Virginia Wife: Anna Maria HOTSINPILLER; Birth: 1747, Opequo Creek, Shenandoah Valley, Virginia; Death: About 1820, Frederick, Virginia Child-1. Henry STROOP; Birth: About 1783, Berkeley, Virginia Child-2. Sarah STROOP; Birth: About 1784, Frederick, Virginia; Death: 25 May 1829, Page, Virginia Child-3. Mary STROOP; Birth: About 1785, Frederick, Virginia; Death: 10 May 1854, Highland, Ohio; Burial: Road's Cemetery, Highland, Ohio Child-4. Elizabeth STROOP; Birth: About 1785, Frederick, Virginia; Death: 1580, Paxton Township, Ross, Ohio Child-5. Jacob STROOP; Birth: About 1787, Berkeley, Virginia Child-6. George STROOP; Birth: About 1787, Berkeley, Virginia Child-7. Catharine STROOP; Birth: About 1805, Berkeley, Virginia Source: patron submissions

I suspect most, if not all, of the locations are guesses.

10.  Archives of the Mock Family Mailing List (online at RootsWeb.com), where a post by James P. Mock includes a family group sheet of our subjects, including this excerpt from his sources:

In a Page Co., VA deed (@4) dated Jun 1833 Henry W. Mauck sold land on the drains of Hawksbill Creek that he had inherited from his mother Sally Stroup [MAUK], who had inherited the land from her father William Stroup.  Sally had received this land in a Shenandoah Co., VA deed dated Oct 1818 (@5) where the land of William Stroop dec'd that had been left to his wife Mary, was divided amongst his heirs.  This deed describes Sally's share of this land as being 35 acres.  The land was located near the banks of the Hawksbill Creek. In a Shenandoah Co. deed dated 7 Jul 1828 (@6) David sold land and put up personal property as collateral, for a debt that he owed.  The deed does not describe the land, but states that David's wife Sally was an heir of her father William Stroop.  In another Shenandoah Co. deed dated 7 Nov 1828 David and Sally purchased her sibling's (Henry Stroop and wife Magdalene, George Stroop and wife Elisabeth, Jonathan Moore and wife Catharine Stroop, Jacob Stroop and wife Anna, George Housman and wife Elisabeth Stroop, David Houseman and wife Mary Stroop) share of William Stroop's land (@7).

References: @1) Shenandoah Co., VA Will Book #F p.59 @2) Shenandoah Co., VA Deed Book #Q p.106 @3) Culpeper Co., VA Deed Book #FF p.89 @4) Page Co., VA Deed Book #A p.378 @5) Shenandoah Co., VA Deed Book #Z p.117 @6) Shenandoah Co., VA Deed Book GG p.267 & 268 @7) Shenandoah Co., VA Deed Book JJ p.234