Depending on when she married, you won't find her in a Census until 1850 under her Thompson surname. Prior to 1850 only head of household was listed.
I'd look for their marriage document. Both sets of parents might be on it. If not then I'd look for the newspaper announcement of their marriage.
I'd also look for her newspaper death notice. Her parents names might be in it.
If you think Joseph was her father, find his probate records and look for her name. Successful Searching!