Jacob is said to have died in 1906 in St. Louis, MO, but his wife calls herself a "widow" in the 1900 census, and I can't find Jacob in 1900.  The Jacob D. STROUP (æ 71, b. Nov 1828, SC) in the 1900 census of Missouri is Jacob Decatur STROUP, our subject's uncle.

1.  Marriage Record:

2.  1860 Census Every-Name-Index/Images (online at Ancestry.com, Image #8 of 8):  Fourche P.O., Fourche Twp., Pulaski Co., AR, Roll M653_49, p. 205, PN 41, 292/262, enumerated 21 Jul 1860, official enumeration date 1 Jun 1860 (extracted by Diana Gale Matthiesen):¤•

Jacob Stroup	32	M		Farm Laborer			South Carolina
Elisabeth "	32	F					Alabama
Pamelia   "	5	F					Georgia
Wm A      "	3	M					"

Their son is clearly Wm. A.

3.  1870 Census Every-Name-Index/Images (online at Ancestry.com, Image #7 of 17):  Ringgold P.O., Cross Roads Dist., Catoosa Co., GA, p. 286A, PN 35, 252/255, enumerated 25 Jun 1870, official enumeration date 1 Jun 1870 (extracted by Diana Gale Matthiesen):¤•

Stroup Jacob	41	M	W	Miller & Sawyer		150	South Carolina
______ Elizabeth J	42	F	W	Keeping house			Do     Do
______ Parmeasa? P?	15	F	W	At home			Georgia
______ Andrew A	12	M	W	At School			Do
Harris Rachel	70	F	W	At home (Infirm)			South Carolina

Their son is clearly Andrew A.  Rachel is presumably Elizabeth's widowed mother.  Listed next to Jacob's brother, Daniel Peeler STROUP.

4.  1880 Census Every-Name-Index/Images (online at Ancestry.com, Image #9 of 18):  Cross Roads Dist., Catoosa Co., GA, Roll T9_137, p. 197D, PN 20, SD 1, ED 10, enumerated 10 Jun 1880, official enumeration date 1 Jun 1880 (extracted by Diana Gale Matthiesen):¤•

1880:  for an explanation of the column headings, please see What the Numbers in the Federal Census Mean (missing columns contained no data).
1	2	3	4	5	6	8	9	10	13	24	25	26
111	111	Stroup Jacob	W	M	51			/	Farmer	SC	SC	SC
		______ Elizabeth	W	F	61	Wife		/	Keeping House	SC	SC	SC
		______ Andrew	W	M	21	Son	/		works on farm	GA	SC	SC

Listed next to married daughter, Pellie/Pollie (STROUP) PACK.  Listed seven households from Andrew's future wife, Jennie PAGE-CHASE.

5.  1890 Census:  the 1890 Census Population Schedules were destroyed.

6.  1900 Census Every-Name-Index/Images (online at Ancestry.com, Image #7 of 11):  Boynton Dist., Catoosa Co., GA, Roll T623_184, p. 325A, SN 4, SD 7, ED 18, enumerated 7 Jun 1900, official enumeration date 1 Jun 1900 (extracted by Diana Gale Matthiesen):¤•

1900:  for an explanation of the column headings, please see What the Numbers in the Federal Census Mean (missing columns contained no data).

1

2

3

4

5

6

7

8

9

11

12

13

14

15

19

20

21

22

23

24

25

26

27

28

59

59

Pack David F

Head

W

M

Jun 1849

50

Wd

GA

TN

TN

Farmer

0

Y

Y

Y

O

M

F

52

____ Mary

Dau

W

F

Jun 1885

14

S

GA

GA

GA

0

Y

Y

Y

____ Robert

Son

W

M

Nov 1887

12

S

GA

GA

GA

Farm laborer

0

0

Y

Y

Y

____ Fannie

Dau

W

F

May 1890

10

S

GA

GA

GA

5

Y

Y

Y

____ Charles

Son

W

M

Jul 1893

6

S

GA

GA

GA

0

____ Virgel

Son

W

M

Jan 1896

4

S

GA

GA

GA

Stroup Elizabeth

M-in-law

W

F

May 1827

73

Wd

1

1

SC

SC

SC

Y

Y

Y