Daniel,
I have looked previously and not found more about the Wunderlich family. The 1840 list of Naturalisations contains an unusually high number of immigrants from the Prussian province of Posen. I had assumed that is where the Wunderlich left from.
I have also just noticed Johanne Elenore Wunderlich, born 12 September 1802 at Gruenewald. Perhaps that was Grünewald, Westfalen, Preussen?