For the Catholic birth/baptism records, it's probably easiest in the US to order the microfilm from FamilySearch for viewing at your local Mormons (Family History Center). The detailed search result has the film number.
(Here's András:
https://familysearch.org/ark:/61903/1:1:XZ45-DYC; the film number is 601224, which contains Roman Catholic baptisms from Dunaföldvár for the years 1887 to 1895.)
The death of Ferenc and re-marriage of Maria are both post-1895, and thus should be findable (with some bandwidth and time) in the civil registrations:
https://familysearch.org/search/image/index#uri=https%3A%2F%...