This is sometimes called the "Castle Garden" era as immigrants were processed at New York's Castle Garden from 1855-1890.|
Below is a list of indexes and finding aids for New York passenger lists for 1820 to the 1890s (and beyond), including the Castle Garden period.
- BOOKS: Emigration from the United Kingdom to America: Lists of Passengers Arriving at U.S. Ports, 1870-1881; Scarecrow Press (2006-2012), 18 Volumes. This series includes the names of English, Welsh, Scottish, and Irish immigrants who arrived at the Port of New York between 1870 and 1881. Available at some genealogy libraries.
- The New York Times - the New York Times usually listed ship arrivals (but very few passengers) each day in a column called "Marine Intelligence." Information usually included date of arrival, name of ship, port of departure and name of Captain. Here is an example...
"New York/Thursday, May 26/Arrived... Steamship Rotterdam, (Dutch,) Vis, Rotterdam 12 ds., with mdse. and passengers to Funch, Edye & Co." (New York Times 27 May 1887, p. 3)
This listing shows the Steamship Rotterdam (a Dutch ship) arriving from the port of Rotterdam on May 26, 1887. The voyage took 12 days. Vis is the name of the ship's Captain. Note that the microfilmed passenger list for this ship (which I have looked at) is dated 27 May (the next day).
You might check your local library to see if they have access to the New York Times. Or you can try searching online...
- Mennonite Book Resource: Index to Mennonite Immigrants on United States Passenger Lists, 1872-1904 compiled and edited by David A. Haury; Publisher - North Newton, KS: Mennonite Library and Archives, 1986. You might try your local library.