You didn't post any birth or death dates but based on the names you supplied there was a Jerry Pawelczyk 43 and family who lived in Wayndotte, Wayne County, MI listed in the 1930 census. It includes his wife Anna 40, children: Irene 16, John 13, Anthony 10, Cecelia 7, Eleanore 3 1/12. This record indicates Jerry and Anna were married when he was 21 and she 18. It also indicates he immigrated in 1903 and she in 1891. Both were born in Poland. All the children were born in Michigan.
The 1920 census shows similar info but under the spelling of Jerry Povilski 25 and wife Anna 32 (yes, I'm fairly certain it is the same family).
The 1910 census shows similar info but under the name of Sigismund Pawelczyk 24 and Anna 20. Sigismund was born in Russian Poland and Anna in German Poland.
A WWI draft card shows Jerry Zygmont Pawalczyk of 304 Elm Street, Wyandott, Wayne County, MI was born May 20, 1884.
Immigration records for Baltimore, MD shows a Zygmunt Pawelczyk 19 who arrived Sept 13, 1903 on the "Neckar" from the City of Bremen. The record indicates the passage was paid for by his father Franc of Wyandotte. It also indicates he last lived in Tadwelma.
Francis and Anna seem to appear in the 1910 census as living in Wyandotte under the name Paueloziki. He was 44 and she was 52 and both were born in Russia. They were married for 25 years. He immigrated in 1901 and she in 1905.
It lists his parents as Ziegmund and Anna.
Some of these records you can look at for free at labs.familysearch.org and Ancestry.com. For those you cannot see for free I suggest checking with your local libraries to see if they have Ancestry or Heritage Quest.
I suggest checking with the cemetery where your family members are buried for what they can tell you and to get info off the tombstones. Also check to see if there is an archives for the the Archdiocese in the Wyandotte area.