Have you looked at the actual image of the birth (which can be seen on familysearch when logged in)
Gaylord Bair is listed as aged 23, normal residence Pennsylvania (town name is given H?burg?), birthplace as Youngstown, Ohio. The daughter b. 1933 was the first child to Ellen.
This might make sense with this 1930 census which has an Ellen Nielsen, niece, living in Mercer County, Pennsylvania (given
https://familysearch.org/ark:/61903/1:1:XHCL-83Kand a 1930 census for a possible Gaylord Bair in the same part of Pennsylvania:
https://familysearch.org/ark:/61903/1:1:XHCG-C8FSo if there was a marriage, perhaps it took place in Pennsylvania?
It would seem Ellen was remarried to Louis by 1940 - written as "Basek", but noted that in 1935 they were living in Wharton, Texas. Ellen's daughter (under the same surname) is using the same surname:
https://familysearch.org/ark:/61903/1:1:KWC4-QKN