N.J. Stat. § 4:20-11
To avoid the difficulty that may arise touching the placing of a partition fence when the parties cannot agree thereupon, the persons proposing to make the fence may apply to any two members of the township committee of the township where the lands lie or any two members of the board or body having control of the streets in any other municipality, who are disinterested, who, upon hearing the allegations and proofs of the parties shall fix, by writing under their hands to be delivered to each of the parties, the place where the fence shall be made. When the fence has been made in the place so fixed and one party has failed to make his just part or proportion thereof, the party making it may recover such part or proportion of the charges in the manner provided in section 4:20-8 of this title, although it may not happen to be exactly in the division line.
The fixing of the place for the fence as provided in this section shall not deprive either party of a lawful claim to a greater quantity of land and either party may maintain an action therefor as though such determination had never been made.
N.J.S. § 4:20-11