Many areas around Princeton have a Princeton zip code but the school district is not Princeton.
This includes, Franklin township , Montgomery, Princeton Junction, and South Brunswick.
I answered one of you questions on the forum ; if you are a 1st time home buyer, starting your search you could set up a no-obligation consultation to let a Local Buyer's agent determine suitable areas, based n your needs & requirements or sign up on my website for the New listings to be sent to your inbox.
Trulia & Zillow are 3rd party sites , with a lot of the data being obsolete ( see Trulia disclaimer )
goto : http://Princetonhomenj.com & register to receive your own login/password to save a search & receive New listings
OR call me at 609.577-5861 to go over your needs & wants list , if you are not currently working with another agent.
Shalu Thaman - ABR
Keller Williams Princeton