I have no connection to family, only listing a possibility.
1930 Il/Cook Co/Chicago/Dist 507 Paul Podolak 28 Il Pol Pol Electrician/Western Elec(1st md at age 21) Antionette 27 Il Boh Boh Inspector/Surgical(1st md at age 20) Paul George 5y4m Il
1920 Il/Cook Co/Chicago/Ward 5/Dist 273 Pete Podalak 36 Galicia Gal Gal Laborer/? Factory Mary 36 Gal Gal Gal Paul 18 Il - Walther 15 Il - Stella 13 Il - Josephine 9 Il - Pauline 6 Il - Nellie 4y2m Il - Helen 3m Il The Imm years & Nat years are very hard to read. Pete & Mary Imm in 1905/08 and Nat 1917/18/19(my best guess)
There is a Josephine Inman who died in LA,Ca. bd3/16/1911 dd7/15/1988. Says she was born in Il, father's name was Podolak & mother's maiden name Florik
Il Death Index A Piotr Podolak d.9/8/1930 and a Helen Podolak d.10/21/1925