You might wish to consult a real estate attorney in your county.
ADVERSE POSSESSION just might mean that 1 foot is already YOUR property:
Adverse possession in New Jersey is established from the nature of a trespasser's possession and the length of time he or she possesses the land.
A trespasser's possession must be:
1) hostile (against the right of the true owner and without permission)
2) actual (exercising control over the property)
3) exclusive (in the possession of the trespasser alone)
4) open and notorious (using the property as the real owner would, without hiding his or her occupancy), and
5) continuous for the statutory period (which is 20 years in New Jersey for most types of property under N.J. Stat. Ann. § 2A:14-6, but 30 years for "uncultivated lands," such as a woods, under N.J. Stat. Ann. § 2A:14-30).
For example, imagine that Brian and Jane live next to one another in Princeton.
There is no dividing fence or boundary between their yards.
Brian builds a shed that is actually on Jane's side of the property, covering about 15 square feet of earth. Jane doesn't say anything.
Brian uses the shed as if it were on his own land. He does this for twenty years.
Under the rubric described above, Brian can probably establish that he "owns" the land on which he was encroaching.
Jane could have stopped Brian by demanding over those 20 years that he remove his shed, or sign a rental agreement.
But New Jersey courts will not allow her to suddenly eject Brian after sitting on her rights for two decades.
Laws on Adverse Possession in New Jersey | Sapling.com