From the 1871 Newark City Directory:

Passenger trains leave Broad Street Depot for New York, about every twenty or thirty minutes during the day, less frequent the early and late trains, from 5:45 AM until 11:42 PM daily (Sunday excepted); stopping at Ferry Street, East Ferry Street (a few trains only) West Bergen, Bergen Avenue, Communipaw, Jersey City, New York.

Returning, leave New York at the foot of Liberty Street, North River, on or about the same time, and stopping at same stations as above: last car leaving New York at 12:15 PM. Freight received at Broad Street Station for New York and for all points on the line of Central Railroad of New Jersey and its connections.

From "Newark and Its Leading Businessmen" 1891

The Newark and New York Railroad is a branch of the Central Railroad, and affords communication with New York to a very large number of people residing in the heart of the city.  It also has branches extending to Elizabeth and to all the sea shore resorts along the Jersey coast, and in the Summer season is patronized by hundreds of Newark businessmen, who go backwards and forwards between the city and their summer homes.