You might want to take a look at Ancestry.com for Johann Ludwig Kornman.There is a source there which lists his children as: Johan Adam, b. c. 1736 Valentine, b. c 1742 Felton, b. c. 1744 John, b. c. 1746 Catherine Barbara, b. c. 1749 George, b. 10/6/1750 PA, d. 8/3/1820 PA Elizabeth, b. c. 1752 Sarah, b. c. 1753 Ludwig, b. c. 1754 PA, d. c. 1835 PA Henry, b. c. 1756 Phillip, b. c. 1758 Jacob, b. c. 1760 Abraham F., b. 11/1/1765, d. 1844 Jessamine Co., KY
Also, for what it's worth, a passenger list for the ship "Samuel", Hugh Percy, Master, from Rotterdam, "qualified Aug. 30, 1837", includes a Ludwig Kornman (presumably this Ludwig).
I don't have a primary source for the Ancestry.com information, but it seems worth looking into.