This is the Cooke county Texas board. I think you are needing Cooke/Cook surname boards. Portadown is a town in County Armagh, North Ireland.
Without approximate birthdates research is difficult like looking for a needle in a haystack.
baptism/christening place: 774, PORTADOWN, ARM, IRE
birth date: 10 Mar 1868
birthplace: Portadown, Arm, Ire
father's name: James Cook
mother's name: Jane Ravey/Reavey
indexing project (batch) number: C70137-6
system origin: Ireland-VR
source film number: 101160
reference number: - 2:1175DRB
Citing this Record
"Ireland, Births and Baptisms, 1620-1881," index, FamilySearch https://familysearch.org
Mary Cooke birth 01 May 1871 Armagh, Ireland christened in Portadown