My information is similar. I also have a child Michael Coulter born 11 Jun 1847 and baptised at St. Aloysius in Cresson. The child Mary W. Cook that was born on 16 Feb 1856 is a grand-daughter (child of Margaret Eleanor "Ellen" Coulter).

I can't find death dates for E. Alexander (1804-?) or Mary Ann (Nagle) Coulter (1810-?).