I can't find Elizabeth in the 1920 or 1930 censuses.  Did she really die in 1939?  Or did she remarry?

— born in IL, probably in Peoria, Peoria Co., IL:
  7.  Anna M. "Annie" TRAUB, b. Jan 1880
  8.  John Frederick TRAUB, b. Aug 1882 or 18 Aug 1881
  9.  Elizabeth TRAUB, b. Apr 1883; dumb
10.  Frederick Charles "Fred" TRAUB, b. 30 Jul 1885
11.  Louis W. TRAUB, b. May 1887

— born in IA:
12.  [Charlotte / Charlotta] "Lottie" TRAUB, b. Dec 1888
13.  Hamilton Paul TRAUB, b. 18 Jun 1890, Crozier, Buena Vista Co., IA
14.  Noah H. M. TRAUB, b. Dec 1891
15.  (Child) TRAUB; died young
16.  (Child) TRAUB; died young

Lottie was presumably born in Crozier, but Noah might have been born in Reinbeck, Black Hawk Twp., Grundy Co., IA.

1.  Illinois Statewide Marriage Index, 1763–1900 (online at the Illinois State Archives web site):

TRAUB, Lorenz

GRAF, Elizabeth

09/18/1870

4181/2

Will Co.

2.  1870 Census Every-Name-Index/Images (online at Ancestry.com):  can't find, and I really looked, for both of them.  Can't find Elizabeth's parents, either.

3.  1880 Census Every-Name-Index/Images (online at Ancestry.com, Image #3 of 16):  Louisa St., City of Peoria, Peoria Co., IL, Roll T9_241, p. 313D, PN 4, SD 3, ED 221, 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

31

32

Traub Lawrence

W

M

32

/

Teacher School

Wurtemberg

Wurtemberg

Wurtemberg

"   Elizabeth

W

F

29

Wife

/

Keeping House

Switzerland

Switzerland

Switzerland

"   Lawrence

W

M

9

Son

/

Attends School

Iowa

Wurtemberg

Switzerland

"   Mary

W

F

8

Dau

/

Attends School

Iowa

Wurtemberg

Switzerland

"   Ricka

W

F

6

Dau

/

Illinois

Wurtemberg

Switzerland

"   Godliebe

W

M

5

Son

/

New York

Wurtemberg

Switzerland

"   William

W

M

3

Son

/

Michigan

Wurtemberg

Switzerland

"   Christian

W

M

2

Son

/

Michigan

Wurtemberg

Switzerland

"   Annie

W

F

4/12

Dau

/

Illinois

Wurtemberg

Switzerland

4.  1890 Census:  the 1890 Census Population Schedules were destroyed.

5.  1900 Census Every-Name-Index/Images (online at Ancestry.com, Image #10 of 37 — indexed "Larene J. Traub"):  Reinbecktown, Blackhawk Twp., Grundy Co., IA, Roll T623_433 (Book 2), p. 206B, SN 5, SD 5, ED 38, enumerated 6 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

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

104

105

Traub Larencz

Head

W

M

Jul 1848

51

M

29

Ger

Ger

Ger

1868

32

Na

Clergyman

0

Y

Y

Y

O

F

H

_____ Elizabeth G

Wife

W

F

Jan 1851

49

M

29

16

14

Switz

Switz

Switz

1855

45

Y

Y

Y

_____ John F

Son

W

M

Aug 1882

18

S

IL

Ger

Switz

At School

0

7

Y

Y

Y

_____ Annie M

Dau

W

F

Jan 1880

20

S

IL

Ger

Switz

Y

Y

Y

_____ Fredrick C

Son

W

M

Jul 1885

14

S

IL

Ger

Switz

At School

3

9

Y

Y

Y

_____ Elizabeth

Dau

W

F

Apr 1883

17

S

IL

Ger

Switz

N

N

N

Dumb

_____ Louis W

Son

W

M

May 1887

13

S

IL

Ger

Switz

At School

3

9

Y

Y

Y

_____ Lottie

Dau

W

F

Dec 1888

11

S

IA

Ger

Switz

At School

3

9

Y

Y

Y

_____ Paul

Son

W

M

Jun 1890

9

S

IA

Ger

Switz

_____ Noah H M

Son

W

M

Dec 1891

8

S

IA

Ger

Switz

There's no middle initial for Lorenz, it's the descender on the "z."

6.  1910 Census Every-Name-Index/Images (online at Ancestry.com, Image #8 of 46):  2650 Fremont Avenue, Minneapolis City (Ward 10), Hennepin Co., MN, Roll T624_705 (Book 1), p. 94B, SN 4B, SD 5, ED 177, enumerated 16 Apr 1910, official enumeration date 15 Apr 1910 (extracted by Diana Gale Matthiesen):¤•

1910:  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

10

11

12

13

14

15

17

18

19

20

23

24

25

26

27

28

*

2650

75

83

Traub Elizabeth

Head

M

W

54

Wd

15

12

Switz Ger

Switz Ger

Switz Ger

1860

Eng

None

Y

Y

O

M

H

_____ John

Son

M

W

29

S

Illinois

Ger Ger

Switz Ger

Eng

Real estate

sells land

OA

Y

Y

_____ Fred

Son

M

W

24

S

Illinois

Ger Ger

Switz Ger

Eng

Real estate

sells land

OA

Y

Y

_____ Louis

Son

M

W

22

S

Illinois

Ger Ger

Switz Ger

Eng

None

Y

Y

_____ Fredrica

Dau

F

W

35

S

Illinois

Ger Ger

Switz Ger

Eng

Nurse

nursing

OA

Y

Y

_____ Lottie

Dau

F

W

21

S

Iowa

Ger Ger

Switz Ger

Eng

None

Y

Y

N

*Fremont Avenue

7.  1920 Census Every-Name-Index/Images (online at Ancestry.com):  can't find Elizabeth. 

8.  1930 Census Every-Name-Index/Images (online at Ancestry.com):  can't find Elizabeth.  Did she really die in 1939, or was it 1919?  Or did she remarry?

9.  Edward J. Jones.  GEDCOM.

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