I'm not sure, honestly. I have yet to find any church records for the family; he and his wife were both buried in the Deer Creek Cemetery, which per Find A Grave is located at the United Methodist (formerly Methodist Episcopal) Church. The more recent generations of the family have been Protestant.
Your questions about Michael prompted me to review his naturalization paperwork again, and it finally caught my eye that his daughter Emma - my great grandmother - was listed as Emilie. Using that and some wildcard searching for her last name, I finally located the ship manifest for her arrival! She's listed as Emilie Fanecznik.
She was born in 1907; Michael came to the U.S. later that year, and Johanna/Jennie and son Carl/Charles (b. 1906) followed in 1908. Emma/Emilie did not join them until 1921 when she was 14 (I had known that previously, but could not locate her arrival info).
The ship manifest, in addition to confirming she was joining her father Michael in Pittsburgh PA, lists her most recent residence as Buzenice, her birth place as Viden, and her closest relative as Maria Mukova. This is similar to the Maria Muka on Johanna's ship manifest.
So now I have various sources showing Jennie Wild's mother's name as Maria Rudolph Muka/Mukova. She also reported that the Rudolph surname belonged to her mother's stepfather...so I don't know what Maria's birth surname would have been. Jennie's father was reported to be Frank Wild, so I'm not sure when/how the Muka/Mukova surname enters the picture. It's all a bit confusing; I'm not sure if there were multiple marriages involved, whether women of this region took their husband's surnames, etc....I believe I have some significant research to do here!