Martin origins

I hired a professional genealogist to look into the ancestry of my 3rd great grandfather Austin Martin. The report I received suggests there should be Catholic records at St. Anne parish in Oswego, New York since records go back to the 1830s. I'm hoping there is a record of the marriage that might help elucidate who his parents are and his two wives particularly Jane, his first wife since she is the mother of of my great-great grandfather John Wesley Martin