The following references have been found:

• Jonathan Langworthy witnessed the will of Sarah McAdams in Pasquotank Co., North Carolina Oct 10, 1744. He must have been 21 at the time.
  (North Carolina Will Abstracts, 1660 - 1790).
• Feb 6, 1755: Jonathan Langworthy and his wife Sarah condemned their marriage before a magistrate. (This means that they had been married contrary to Friends discipline, and they repented of the manner - if not the fact - of that.)
  (Pasquotank Monthly Meeting, Encyclopedia of American Quaker Genealogy, V1, p,145)
• Dec 4, 1755: Jonathan Langworthy received a certificate from the Newport Monthly Meeting. (Apparently certifying that he was a Quaker.)
  (Pasquotank Monthly Meeting, Encyclopedia of American Quaker Genealogy, V1, p,145)
• Jonathan Langworthy died, Nov 8, 1760.
  (Pasquotank Monthly Meeting, Encyclopedia of American Quaker Genealogy, V1, p,101)
• March 3, 1763: Sarah Langwerthy disowned for marriage out of unity.
  (Pasquotank Monthly Meeting, Encyclopedia of American Quaker Genealogy, V1, p,145)

From the above, we conclude that Jonathan Langworthy was born before 1723. He was a Quaker and had lived in Newport, Rhode Island. He moved to Pasquotank Co., North Carolina before 1744, where he married Sarah X, and he died there on November 8, 1760. His wife apparently remarried in 1763.

I don't know if he left any descendants, but there are no Langworthys or Longworthys in the 1790 Census of North Carolina.