Hello Jim,
the emigration papers for Oldenburg you can find at the state archive of Oldenburg, for the place Torsholt it was the Amt Westerstede and for the city of Oldenburg the Amt or the town Oldenburg.
There are no Town lineage books for Torsholt or the town Oldenburg. You can find church books in the state archive.
If you give us the name of the person you're looking for we can try to find the person.
Best regards,
Gunter