Re: Jeremiah Teetsell , born 1834, Saugertie
Jeremias Teetsel (c.1782) was the oldest child of Johannes Teetsell (Dietzell) and Rosina Fiero (Feero). Johannes was a Hessian solder who had come to America to fight for the British during the Revolution. He deserted and is listed as a member of the First Ulster Militia. Rosina is a descendent of the Palatines who were sent up the Hudson in 1710. Anna Dorothea Beer (Baer) was also a descendent of the Palatines. I have her parents as Johann Georg Behr and Catharina Maurer (Mower). If you check on www.familysearch.com I think you will find that there is quite a detailed pedigree of Jeremias and Anna Dorothea.
As for the spelling of the name - you will find that the spelling of names is not settled and varies a lot.