From the Newark airport, take the Northeastern Regional train to New York Penn Station. From Penn Station, there are 8 trains a day to Albany.
From JFK, take the "Air Train" to Jamaica Station. There, you can catch the LIRR (Long Island Railroad) into Penn Station in Manhattan. From Penn Station, you can catch an Amtrak train upstate to Albany.
Amtrak is the only train option.
There are no longer sleeping cars on any Northeast Regional train. You can book a sleeping car between Newark and other destinations such as Chicago, Miami, etc. Check with Amtrak.
To travel from Newark Airport to Newark Penn Station, you can take the AirTrain from the airport to the Newark Liberty International Airport Station, and then transfer to a NJ Transit train to Newark Penn Station. The journey takes about 20-30 minutes.
Newark Airport.
You can take a train from the airport to New Brunswick. The airport has a monorail to the train station. You would take the train south to New Brunswick. The train station in New Brunswick is one block from the hospital
"Can you switch to an earlier Amtrak train?"
Bus to Richmond Amtrak Station; then Amtrak to Washington Union Station OR SOuthwest Airlines Norfolk to BWI Airport;p then either Amtrak, MARC Commuter Train or Van service to DC
You can, of course, get to Princeton University by car. Bus service runs from Manhattan to Princeton and stops across the street from the Princeton University Campus. The trip takes about 90 minutes. Trains travel roughly hourly from Pennsylvania Station, New York, to Trenton, NJ, and stop at Princeton Junction, about one hour from Penn Station. At Princeton Junction, a shuttle train called The Dinkey meets each arriving train and goes to the Princeton Train Station, on the edge of the Princeton University Campus. This service is included in the cost of train travel to Princeton Junction. The same NJ Transit train service also stops at Newark Airport, so it is possible to fly from anywhere in the world to Newark International Airport and take the train to Princeton. Some Amtrak Trains running between Boston/New York and Washington, DC, also stop at Princeton Junction and are met by The Dinkey. SEPTA Commuter trains depart from Philadelphia's 30th Street Station for Trenton, NJ, where you can transfer to a NJ Transit train that stops at Princeton Junction on its way to New York's Pennsylvania Station. Private airplanes can land at the Trenton-Mercer County Airport, about 10 minutes drive from Princeton University. Scheduled service is not available at this airport. The usual airport limo and bus services connect Princeton with the three major New York area airports (Newark, Kennedy, and LaGuardia) and with the Philadelphia Airport.
The available options for public transportation from New York City to Newark Airport include taking the AirTrain, NJ Transit train, or a bus.
You can't. The only train station located anywhere close to Delmarva is the Wilmington DE Amtrak station. You could get on the Amtrak in Newark or Harrison and travel south to Wilmington, but from there you would have to drive. You go down DE-1 towards Dover and keep on that all the way to the state line, and from there you would be in Ocean City Md.
The Amtrak train route map shows the various train routes across the United States. You can find it on the official Amtrak website or at Amtrak stations.