I sent an email, but my experience is that such emails expire and you can't reach people. So here it is in brief:
1 Friedrich SCHÜTZ, horsesmith/blacksmith of Weidenthal Herrshaft Leiningen. the progenitor of our family line. To date, his history has not been uncovered. Research in Weidenthal is underway. His spouse was Charlotte ANSTATT We know of only one child, Johann Wendel (~1760-1825). He was born in Weidenthal and moved to Thalfroeshen probably about 1780 as he was married to Anna Charlotte BRANDSTATTER in 1766. Their children were: Maria Charlotta (1783-<1796), Johann Peter (1784-1855), Eva Maria (1788-1789), Johann David (1786-1827), Anna Elisabetha (1788-1789), Georg Jacob (1790-1795), Anna Maria (1792-), Maria Catharina (1794-), Maria Charlotta (1796-). Maria Elisabetha (1796-), Johann Jacob (1798-) and Conrad (->1858).
1.1.1. Johann Peter SCHÜTZ (1784-1855), also a blacksith/horsesmith, had two wives. Your line is through Maria Elizabetha LEICKEL. Their children were your families Friedrich Carl and his siblings Anna Maria, Magdalena (1819-), Peter (1821-) and Georg Jacob (1826-1847).
1.1.2a.1 Friedrich Carl SCHÜTZ was also a horsesmith, carrying on a family tradition. He married Catharina WOLF, daughter of Christian WOLF and Elisabetha Catharina SCHATZMANN, on 5 Sep 1837 (Thaleischweiler, Pfalz, Bayern, Germany; just across the stream from Thalfröschen).
Children: +Peter (24 Dec 1837-10 Sep 1838) Maria (4 Aug 1839- ) +Jacob (30 Oct 1842-9 Feb 1850) Peter (24 Jun 1844- ) Adam (21 Jul 1848- ) Catharina (3 Nov 1851- ) All born in Thalfröschen.
So there you have it. I left off the other lines, including my own.