Hi, I am not related. You didn't give much info to go on, so I have no idea if this is the right family.

Labecki could possibly be spelled in (American) records as Lubetski, Lubecki, Lubisky, etc.
Hope this helps. RP
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1900 United States Federal Census
Home in 1900: Stockton, Portage, Wisconsin
Residence : Stockton Town, North Side, Portage, Wisconsin

Josephine Lobesky, head, age 56, single, married 37 years, 13 children, 9 living, born March 1844 Poland Germany, parents born Poland Germany, immigration 1884

Charley Lobesky, son, age 15, born June 1884 Poland Germany, parents born Poland Germany, immigration 1884

Louis Lobesky, son, age 14, born June 1885 Wisconsin, parents born Poland Germany

Frank Lobesky, son, age 12, born Oct 1887 Wisconsin, parents born Poland Germany

Helen Lobesky, daughter, age 10, born Jan 1890 Wisconsin, parents born Poland Germany

Matilda Lobesky, daughter, age 6, born March 1894 Wisconsin, parents born Poland Germany
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1910 United States Federal Census
Home in 1910: Stockton, Portage, Wisconsin

Frank Lubisky, head, age 23, 1st marriage, married 1 year, born about 1887 Wisconsin, parents born Germany Polish O

Angela Lubisky, wife, age 17, 1st marriage, married 1 year, born about 1893 Wisconsin, parents born Germany Polish O

Edwin Lubisky, son, age 10/12, born about 1909 Wisconsin, parents born Wisconsin

Josephine Lubisky (Lubesky), mother, age 66, widowed, born about 1844 Germany Polish O, parents born Germany Polish O, immigration 1884

John Lubisky, brother, age 37, born about 1873 Germany Polish O, parents born Germany Polish O, immigration 1884

Charley Lubisky, brother, age 27, born about 1883 Germany Polish O, parents born Germany Polish O, immigration 1884

Helen Lubisky, sister, age 22, born about 1888 Wisconsin, parents born Germany Polish O

Matilda Lubisky, sister, age 17, born about 1893 Wisconsin, parents born Germany Polish O
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http://library.uwsp.edu/depts/archives/obits2/osearch.htm

Lubetski, Charles W. SPDJ 22 Jan 1946, 26 Jan
Lubetski, Frank SPDJ 24 June 1929, 27 June
Lubetski, John SPDJ 9 Dec 1946, 11 Dec
Lubetski, Josephine Mrs. SPDJ 26 Sept, 24 Sept 1924
Lubecki, Frank Mrs. Lubecki, Angeline SPJ 3 July 1987