Looking for birth record of Charles Crawford born around 1863-1868 near Stewartstown, No Ireland

Question

I am trying to find a birth record for my great-grandfather Charles Crawford, who was born in or near Stewartstown, Northern Ireland some time in the 1860's.  He emigrated to Rhode Island in the U.S. around 1887.  On his marriage record to Matilda Taylor in 1890 in Cumberland, RI, he lists his parents names as Robert Crawford and Agnes Donnelly.  I have found birth records for 3 other boys born to those parents in that area between 1865 and 1872, but I can find no record for Charles, who I believe was born in 1866-1868  Does anyone have any information on this family?

Answer 1

familysearch.org/ark:/61903/1:1:F8F7-Z3P Charles died 1926 age at 63.

familysearch.org/ark:/61903/1:1:QVGP-833D Buried at Mt. Calvary Cemetery

Answer 2

familysearch.org/ark:/61903/1:1:FPHX-B3J

familysearch.org/ark:/61903/1:1:FPYR-VVW

Parents names are at variance with the other names given.