There was a Matthias Achabach listed as a passenger in the "Friendship" which arrived in Philadelphia on 21 Oct 1754 from Amsterdam by way of Gosport.List 224c further stated that the passengers were from Franconia and Hesse.
Matheus Achenbach was living in Cocalico Twp. Lancaster Co. at the time of his son's wedding in November 1772.
Finally, a Mathias Achenbach appears in the 1790 Census, living in Cocalico Twp. Lancaster Co. PA.His household included one female and one male under 16 years of age.According to Dick Schoeller, his will was probated on 23 Feb 1794.