Hannah could be the daughter of Johannes (John) Sensintaffer and Elizabeth Hartman. Hannah Sensintaffer was born on 25 Jan 1793.
"Notes & Queries - Historical, Biographical & Genealogical Relating Chiefly to Interior Pennsylvania, Annual Edition 1898" (p219) states: "John Sensendorfer removed to Virginia about the same time as his brother Lewis (1799), but strange to say their families had no knowledge of each other. From Virginia he moved with his son, Jacob, and many others, to Linn county, Missouri, in 1837, where he died about 1842, and his wife in 1850, both at an advanced age."
Therefore, John Sensintaffer & family were in VA in 1810. This aligns with your marriage record.
A comment on the spelling of the surname: As Johannes Sensintaffer (variant of Sensendorfer which is a variant of Simpfendörfer) moved to VA, the English-speaking people created many variants in non-English (and even English!!) names. The spelling itself is most likely to show how poor literacy was rather than cast doubt on whether we are talking of the same people.
The 1810 Census is for Jacob Sensendorfer/Sensintaffer who was Johannes' (John's) brother.