Diane,

I found Rebecca Niblack and family on the 1870 census for Columbia county. Her mother's name was Betsey and her siblings were Philis, Nancy, Lewis, and Henrietta.

I was able to follow her brother Lewis to the 1930 census (always in Columbia county). His wife was named Lucy and they had several children.

According to Lewis's death record dated January 22, 1933, his parents were Henry and Lizebeth Niblack.

Good luck in your search.