Frederick Fait - Is the ancestor of the Faits of Bedford PA Hans Jacob Fiet/Vogt of Lancaster PA/Germany

I have found three people who share DNA with me and ancestors are Feits. All three of their Feits came from North Caolina and they are related to each other. These Feits in North Carolina came from Johann Peter Feit from New Jersey who emigrated from Germany in 1749. According to the book ¨The biographical and genealogical records of the Fite families in the United States"by Elizabeth Mitchell Stephenson, 1907, Johann had a brother, Hans Jacob Fiet, who settled in Lancaster PA. Jacob Fiet had a son, John Fiet who had land in Bedford County PA. This John Fiet may be the John Feit found in the Bedford Co PA Federal Census of 1790, 1800, 1810 and 1820. John is older than Frederick so could be his father. I am definitely related to three people who ancestor was Johann Peter Feit. So a possilbe genealogical tree would be Hans Jacob Fiet father of John Fiet/Feit father of Federick Feit/Fait.