1.  Marriage Record:

3.  F. Edward Wright.  1994.  Early Records of the First Reformed Church of Philadelphia. Vol. 1: 1748-1780; Vol. 2, 1781-89.  Family Line Publ., Westminster, MD  (Broderbund CD-166):

BAPTISMS BY DR. WILLIAM HENDEL, 1797-1798... John George, son of Henry Strupp and Susanna, b. June 27, 1797, bapt. Aug. 11, 1797.  Spon:  The father... Carl, son of Henry Strub and Susanna, b. Oct. 25, 1797, bapt. Nov. 25, 1797. Spon: Parents...

John George and Carl cannot have been born just four months apart if they are brothers.  Based on the censuses, Carl was born in 1793/4 and George in 1797/8, so it appears Carl's record is the incorrect one.  And it may be that the baptismal date is correct, while it's only the birth year that is wrong.  I can only assume the compiler or the publisher screwed up.  And if Carl was born in October, he was born in 1793, not 1794.  That birth year is also supported by his tombstone (see below).

2.  1830 Census Index/Images (online at Ancestry.com; Image #35 of 48; extracted by Diana Gale Matthiesen):¤•

1830

NJ

Gloucester Co.

Greenwich Twp.

Roll M19_81

p. 116

Ln. 3

Charles Stroop

110 010 - 000 010

These data indicate:

No. & Sex	Age Class	Therefore Born	Individuals Inferred
1 male	4 or under	1825-1830	= Henry (b. 1827/8)
1 male	5-9	1820-1825	= Charles H.
1 male	20-29	1800-1810	= Charles (b. 1793)
1 female	20-29	1800-1810	= Rachel (b. 1795/6)

3.  1840 Census Index/Images (online at Ancestry.com, Image #33-34 of 39; extracted by Diana Gale Matthiesen):¤•

1840

NJ

Gloucester Co.

Greenwich Twp.

Roll M704_252

pp. 103B-104A

Ln. 15

Charles Stroop

001 001 - 010 001

0101000

These data indicate:

No. & Sex	Age Class	Therefore Born	Individuals Inferred
1 male	10-14	1825-1830	= Henry (b. 1827/8)
1 male	30-39	1800-1810	= Charles (b. 1793)
1 female	5-9	1830-1835	= Rachel Ann (b. 1833/4)
1 female	30-39	1800-1810	= Rachel (b. 1795/6)
1	person employed in agriculture
1	person in manufactures and trade

4.  1850 Census Index/Images (online at Ancestry.com; Image #52 of 76 — indexed "Strook"):  Greennich (sic) Twp., Gloucester Co., NJ, Roll M432_451, p. 125B, 386/399, enumerated 1 Nov 1850, official enumeration date 1 Jun 1850 (extracted by Diana Gale Matthiesen):¤•

Charles Strook/Stroop	56	M		Farmer	1000	Penn
Rachel      "	54	F				NJ
Henry       "	22	M		Wheel Wright		"
Rachel Ann	16	F				"

I can't say the indexer erred; it does look like "Strook."  On the other hand, the indexer did err in 1860 (see next Source).

5.  1860 Census Every-Name Index and Images (online at Ancestry.com, Image #136 of 472 — indexed "Strop"):  Greenwich Twp., Gloucester Co., NJ, Roll M653_691, p. 136, PN 28, 193/198, enumerated 12 Jul 1860, official enumeration date 1 Jun 1860 (extracted by Diana Gale Matthiesen):¤•

Chas Stroop	66	M		Farmer	1800	400	Penna
Rachel  "	63	F					New Jersey

6.  Records from St. Paul's Methodist Church Cemetery (Broad and Delaware Streets), Paulsboro, Gloucester County, New Jersey (online in the Archives of USGenWeb):

Charles Stroop Oct 4, 1864 Aged 70 yrs

Rachel Stroop July 15, 1863 Age 66 yrs

Charles H. Stroop March 12, 1835 Son of ? & Rachel Stroop