I am descended from Margaret Schnee Brinig, daughter of Lorenz Schnee. This Schnee family lived in Erie at the same time as Joseph Schnee's family (father - Adam). Occupation of both was "moulder" and both Schnee families appeared to live very close - see 1880 census. I've wondered if Adam and Lorenz were brothers - both appeared to arrive around 1860, with Lorenz marrying someone from PA and Adam's wife from Germany
I have not been able to go back any further. Have you learned more? I have quite a bit of info on descendants.