My grandfather, Jan (or John) A. Malek was born on December 25, 1886. Maybe your Jan Malek is his father or uncle? One of my aunts told me he came from Przemysl and had at least one brother. Jan married Katherine Dzieza in 1905. I believe they were married in the USA. I think Katherine was from the Katowice area. I would have to look that up again. They lived in Philadelphia, PA and had 9 children.
Did you do your research on a trip to Poland? Are the Przemysl diocese archives online or in a library somewhere?