I was looking at the Sichel listings because I have a cousin whose mother was a Keil and married a Sichel from Brooklyn, I believe.
You ask if birth records are available from 1877. Yes. I don't know where you are located but if you can get to NYC, the vital statistics department is located at 31 Chambers Street in downtown NYC. If it isn't convenient to get to NYC, let me know and I can give you the exact mailing address that you can send your request to.
By-the-way, this office also has marriages and deaths. All the records go waaay back to the 1700's and up to 1910.
D. Keil