N.J. Stat. § 43:10-39
The widow of any retired member of such police department, who was married to her deceased husband before the date of his retirement and before he reached the age of 50 years, shall, if he paid into the fund the full amount of his annual assessments or contributions and continued so to do after his retirement until his death, which death shall have been from causes other than injuries received in the performance of duty, receive a pension equal to one-half of the pay of her deceased husband at the time of his retirement, not exceeding $2,000.00, for so long as she remains unmarried. This pension shall be for the use of herself and any children of her deceased husband under 16 years of age.
If a retired deceased member leaves no widow but leaves three or more children under 16 years of age, the pension shall be paid, in equal shares, to those of his children who have not attained the age of 16 years; if there be only two such children, they shall be paid $20.00 each monthly; and if only one such child, he shall be paid $25.00 monthly, until the age of 16 years is reached.
If there is no widow and no child under 16 years of age, the pension shall be paid to the sole dependent parent of the deceased member.
All retirements hereunder shall be made and pensions allowed by the pension commission hereinafter created.
N.J.S. § 43:10-39