I can infer that the Black Woodsman lives in a dirty, dark, scary swamp. I know this because in the story the narrator states it indirectly:
"the swamp was thickly grown with great gloomy pines and hemlocks,some of them ninety feet high; which made it dark at noonday. it was full of pits and quagmires, partly covered with weeds and mosses; where the green surface often betrayed the traveler into a gulf of black smothering mud; there were also dark stagnant pools, the abodes of the tadpole, the bull-frog and the water-snake... "
I can infer that the Black Woodsman is actually the Devil because all the names he goes by all have black in them; I am inferring this because the narrator says indirectly:
"A pair of great red eyes... Oh I go by various names. I am the Wild Huntsman in some countries; the Black Miner in others. In this neighborhood I am known by the name of the Black Woodsman"
I can also infer that he is kind of rude and scary because of what the narrator states indirectly:
"what are you doing in my grounds? said the black man, with a hoarse growling voice.... Deacon Peabody be d--d,as I flatter my self he will be, if he does not look more to his own sins and less to his neighbor's."
I can also infer he likes to deal with people in exchange of there soul the narrator says indirectly:
"I amuse myself by presiding at the persecutions of Quakers and Anabaptist; i am the great patron and prompter of slave dealers, and the grand master of the Salem witches."
The devil would make a lot of deals:(indirect)
"Being generally understood in all cases where the devil grants favors; but there were others about which, thought of less importance, he was inflexibly obstinate. He insisted that the money found through his means should be employed in his service. "
