Are you looking for the parents of William Curry b. 1775 and died 1850 in North Carolina? If yes, NC wasn't recording births when he was born.
Do you know where and when they married? Then I'd look for their marriage license. Both sets of parents might be on it. If not, I'd look for their marriage announcement in the local newspaper.
I don't think NC was recording deaths in 1850 either except for probate records. You can look up his probate to find an approximate death date and then look for his newspaper death notice. His parents might be in it.
Also if they did live in North Carolina then I'd post the query there. Successful Searching!