Here's a quick flag I made for Carteret, a "country within the United Kingdom of Great Britain, Ireland, and The Americas" in an excellent infobox created by That Jersey Guy.
It is just a heraldic banner of the Carteret family's coat of arms. (The four lozenges could also symbolize the main groups that settled in the area over time: the Lenape/Delaware tribe, the Dutch, the Swedish, and the British.)
Fun fact: One of my ancestors was actually forced into exile from New Jersey by Philip Carteret, the first governor of New Jersey. [He later apparently obtained a spot of land near what is now the Brooklyn Bridge in Manhattan.]
According to a family tradition, he and Governor Philip Carteret met and started arguing over a bridge at the entrance to Elizabethtown, NJ - this altercation eventually grew until my ancestor threw the Governor over the bridge into the water, after which Philip retaliated by confiscating his property - he was then ordered to leave the province by the Proprietary Government.
It's... the Red Ranger Flag!