I have tried to follow the Neuhaeuser line back to 1535. The first of the line were 4 brothers:
(1) Lorenz Neuhaeuser, from Wuertt, Germany. He m. Margaretha (Unknown) on July 8 1567, in Lauffen, Neckarkreis, Wuerttemberg, Germany. They had a daughter: Anna Neuheuser, b. July 1575, Wuertt, Neckarkreis, Lauffen, Germany. I don't know the other children. Could this be the beginng of your line?