Mary, I don't really know alot, but will be glad to share what I haveTETCHLAG RESEARCH DONE

Census
1900 Wisconsin, Milford T623, Roll 1793 pg 210 & 211
Tetschlag,
August,Head,Dec 1842,57,m29 ,Germ,Imm 1882 Na Farmer
Minnie, wife,Oct 1836,63,m29,3-5,Germ,Imm 1882
Gustav, son,June 1873,26,Germ,Imm 1882, Na
Emma,D in L,May 1880,20,Ill
Herman,son,Mch 1866,34,Cannot read, write or speak English

1900, Wisconsin, Dodge County, Waterloo
Tetzlaff
Herman,Head,1849,51,m24,Ger,Imm1870,Na,Lime Burner
Minnie,wife,1855,44,m24,5,5,Ger,Imm 1866,Dressmaker
Emma,dau,1878,22,Wisc,Saleswoman Dom
Hattie,Dau,1880,20,Wisc
Ella,Dau,1886,14,Wisc
Mase,1888,12,Wisc
Arthur,son 1889,10,Wisc

1910 Wisconsin, Jefferson County, Waterloo Town
38-40
Tetchlag,
Gust,Head,37,10,Ger, Ger,Ger, 1882, Na,Dairy Farm
Emma,Wife,29,10,ILL,Ger,Ger
Edward,Son,7,Wisc
Arthur,Son,6,Wisc
Erma,Dau,3mWisc
Walter,Son,?/12,Wisc
Minnie,Mother,75,wd,Ger,Ger,Ger,1882
Herman,½ bro,45,s,Ger,Ger,Ger,1882,No language

1920, Wisconsin, Sheboygan, Ward 8
Tetschlag,
Gust,head, 46,M,imm,1882,Ger,na
Emma,wife,39,F,m10, 4-4,Ill
Edward,son,7,M,Wisc
Arthur,son,6,M,Wisc
Erma,dau,3,F,Wisc
Walter,son,9/12,M,Wisc
Minnie,mo,75,wid,Ger,im 1882,cannot speak english
Herman,½ Bro,45,M,Ger,im 1882,no language

1930 Wisconsin, Sheboygan Co, Sheboygan
Sheet 19B - Superior Avenue 1032-357/478
Browning,
William H, Head, 22,M,m18,Wisc,Wisc,Wisc,Shoe Factory
Erma I,wife,23,F,m18,Wisc,Wisc,Wisc,Shoe Factory
Tetchlag, Elmer,Bro in Law,18,M,s,wisc,Wisc,Wisc,Shoe Factory

Sheet 4B - North 12th St 2016-65/96
Tetschlag,
Gustave,Head,54,m26,Ger,Ger,Ger,1882, Na,Machinist Helper in Chain Factory
Olga,Wife,52,m26,Ger,Ger,Ger,1884 ,Na
Car,Son,15,Wisc,Ger,Ger
Ruth,Dau,8,Wisc,Ger,Ger


Marriage
Gust Tetschlag to Emma Werth, Feb 22, 1900, Jefferson County, Wisc, Rec I D#1779680, Vol 5 pg 51

Ship Transcribers Guild
Series M237 Roll - Arrived in Baltimore Md, 15 May 1882 Left Bremen April 26, 1882 Ship: Leipzig
ID# (all originated from Prussia)
612069 Gustav Teschlag, 8
612070 Herman Teschlag,14
612071 Minna Teschlag, 40
612068 August Teschlag, 39

I know Minna's Daughter, Augusta Yoeck (Yurk/Goeck) came earlier and married Herman Werth in Chickago on January 2, 1882.
I know Minna was married before to August Yoeck(Yurk/Goeck) and Augusta was from this first marriage. I have Herman's obituary and he died October 21,1936 in Sheboygan, Wisc. Listed as survivors are sister Mrs. August Werth, and one brother Gustave Tetschlag of Sheboygan.

I have a note written by "Mother Tetschlag" that says:
"On the 27th May 1920 the insane assylum picked up Herman, probably forever. Written by Mother Tetschlag in Sheboygan, Wisc. In 1882 we came to America."

Documentation from older family members says: Augusta came to this country alone as a yourng girl. She had a stepfather ??Tetschlag and 2 step brothers, Gustav and Herman.

I do not know if Herman Werth (Augusta's husband) and Emma Werth (Gustav's wife) were related. Augusta died Jan 29, 1951 in Watertown, Wisconsin, but I do not have her obituary.
I also have not found the naturalizations of Minna, August Teschlag or Gustav yet.

The names of Augusta and Herman Werth's children were:
Otto, Alma (Anna), Ida, Hattie, August, and Elsie. All but Otto were born in Waterloo, Wisconsin and all but Ida were buried in Wisconsin, mostly in Oakhill Cemetery in Watertown.

Hope this helps some.
Rebecca