I vote for a deer. More likely to have deer in NJ then mountain lions (but I am not ruling out Mountain lions, just hedging my bets)
I heard a sound like someone being seriously hurt and possibly whispering "help"...it went on for quite a while...actually only stopped when I went in the house to get a witness to the sound. Shortly after the two of us returned to the porch some deer went crashing through the underbrush beside the house.
Wait, maybe they were running from a mountain lion/cougar/bobcat. But I doubt the sound came from the cat, more likely from a deer that a cat took down.