Gorecki was born in Bydgoszcz (Bromberg) in the Polish-majority Province of Posen of the German Empire, on October 20, 1871.
He became active as a leader of the Polish School Society, which was an anti-clerical organization devoted to public education and the teaching of the Polish language in public schools, and under his leadership served as a base for recruiting for the Socialists.
In 1904, Gorecki ran for the Assembly in the Fourteenth Milwaukee County district (the 14th Ward of the City of Milwaukee), coming in second, behind Democrat John Szymarek, with 1623 votes for Szymarek, 975 for Gorecki, and 855 for Republican John J.
Gorecki won with 1,519 votes to 1,094 for Democrat Jacob Posanski and 609 for Republican John Phillips.
[6] His son John Gorecki married teenage dancer Marianna Michalska, later to become famous as "Gilda Gray", the shimmy girl, around 1915, when she was 14 or 15 years old; the couple, who divorced in 1923, had one son, Martin Gorecki (born in 1913), who was to become a bandleader and emcee under the name "Martin Gray".