I am posting a second message because I just did a search for Billstein and my original message didn't pop up because I added an "s" to Billstein.
I have information on most Billstein families in the US. My own line is Jewish and starts with Alexander Billstein, son of Moses Billstein. He was born around 1770. His children were all born in Ruelfenrod, Hesse-Darmstadt, Germany.
I also have collected quite a bit of other information on other Billsteins in the US. These other families were mostly from Cologne, Germany. The largest group went to Minnesota. I think that they were mostly Catholic.
Finally, many of my German-Jewish relatives came to the US in the mid 1800s and were eager to assimilate. They found this very easy in the mid-west, and many lost their Jewish identity. I have contacted relatives that never had a clue that they were Jewish. Also, almost all of these immigrants changed their name to more American sounding names. So, even with the German records it is hard to match them to the individual. I have copies of many of the original birth records for my clan. I have German names and birthdates for many individuals that probably came to the US, but I haven't found... in part because the names don't match. You can't necessarily rely on the spelling either. The members of my famly were only given surnames in 1812 and many of the women could only write Yiddish while in Germany. So, Billstine particularly was used by my relatives.... but even possibly they may have used Bilstine or Bilstein.