Was your ancestor born in Galicia?
Austria made it very difficult for Jews to register marriages and births. There was a tax involved in the hopes that less Jews would marry and reproduce.
Therefore, Jewish records were kept by the community far more than the official state authorities in Galicia.
When they needed to transact something that involved the state - say an inheritance - they would register with the result being these much-later-after-the-fact records.
San Francisco, CA, USA
Weinstein -> Solotwina, Galicia | Frisch, Hilman, Jungerman, Schindler -> Rozniatow, Galicia | Golanski, Kramerofsky/Kromerovsky -> Kiev | Lefkowitz -> Petrikov, Belarus | Shub, Rosen Hlusk, Belarus | Levine, Weiner, Zamoshkin -> Slutsk, Belarus