Jacob Zimmerman was born in 1734 in Germany. He married Catherine Ramsour around 1759. He died May 3, 1807 in Lincoln County, North Carolina.[1]
From Wikipedia: German names were regularly anglicized with immigration. Surnames were often translated, so in this case, Zimmerman would become Carpenter.[2]
Note: Jacob Carpenter signed his last name "Zimmerman", which is German for Carpenter.[3] However, he used the last name Carpenter when he joined the military in North Carolina.
https://www.wikitree.com/wiki/Zimmerman-409