Birthdate is that given, unsourced, on OneWorldTree. It corresponds to a christening record for Nicolaus Josephus Roth at the Roemisch-Katholische, Loesnich, Rheinland, Preussen, son of Michael Roth and Anna Justen. (Extracted record from Kirchenbuch 1690-1906, film 0469146, batch J990831). Loesnich is about 500 km away from Leipzig. A similar record exists for a christening 3 May at the church in Erden. (batch C990751)

Michael Roth m Anna Josten 7 Feb 1775 at the church in Erden. (Kirchenbuch 1690-1906, film 0587658, batch M990751). They also had children Herman Joseph (21 Dec 1790), Joes (16 Sep 1776), Joannes Vitus (21 Sep 1793), Nicolaus (16 Aug 1778), Petrus Josephus (24 May 1798), Anna Catharina (3 Mar 1783), Anna Gertrudis (16 Jan 1788), Henricus (2 Dec 1780)

Nicolaus, son of Michael and Anna (Justen) Roth, m. Mariam Magdalenam Riedt 10 Feb 1807 at Erden. (note there’s another son Nicolaus above).

Michael Roth chr 20 Oct 1755 at Erden (same source, batch C990751), parents Mathias Roth, Margaretha Servatius.
There were Anna Jostens b. 1749, 1755, 1757, 1759 and 1760 in Erden.

Matthias Roth chr 13 Jan 1724 Erden (same source), parents Glodius Roth and Anna Barbara.