In Queer Lodgings in The Hobbit, Gandalf tells the company how he discovered tracks of many bears near Beorn's house.

This raises another question - For the race to be called the "Beornings" wouldn't they have to be descended from Beorn? So was Beorn married? Do skin-changers get married?

Are they predominantly bearish or manish in nature? If Beorn did have a spouse, would it be another skin-changer, a bear or a man? If a bear or a man, would the Beornings have the same skin-changing capabilities as Beorn?

The only Beorning encountered in LotR is Beorn, who as a skin-changer was probably not representative of his people.
-Foster’s Complete Guide To Middle-earth

. . . Beorn was the chieftain of the clan of Northern Men whose traditional duty it was to maintain the trade routes . . .
-Tyler’s Complete Tolkien Companion

Frodo learned that Grimbeorn the Old, son of Beorn, was now the lord of many sturdy men . . .
They are valiant men and keep open the High Pass and the Ford of Carrock.
-III, Many Meetings

Though a skin-changer and no doubt a bit of a magician, Beorn was a Man.
-Letters, #144

In Reply To

This seems to indicate that Beorn was not the only skin changer at the time. Logic tells us the tracks were not just PLAIN bears?

This raises another question - For the race to be called the "Beornings" wouldn't they have to be descended from Beorn? So was Beorn married? Do skin-changers get married?

Anyway by mid-winter Gandalf and Bilbo had come all the way back, along both edges of the Forest, to the doors of Beorn's house, and there for a while they both stayed. Yule-tide was warm and merry there; and men came from far and wide to feast at Beorn's bidding. The goblins of the Misty Mountains were now few and terrified, and hidden in the deepest holes they could find; and the Wargs had vanished from the woods, so that men went abroad without fear. Beorn indeed became a great chief afterwards in those regions and ruled a wide land between the mountains and the wood; and it is said that for many generations the men of his line had the power of taking bear's shape, and some were grim men and bad, but most were in heart like Beorn, if less in size and strength. In their day the last goblins were hunted from the Misty Mountains and a new peace came over the edge of the Wild.

And so good ole Beorn was born the first of the skin-changers. Who were his parents? Beornillda and Tarzan.

"He is a skin-changer. He changes his skin: sometimes he is a huge black bear, sometimes he is a great strong black-haired man with huge arms and a great beard... Some say that he is a bear descended from the great and ancient bears of the mountains that lived there before the giants came. Others say that he is a man descended from the first men who lived before Smaug or the other dragons came into this part of the world, and before the goblins came into the hills out of the North. I cannot say, though I fancy the last is the true tale...

"At any rate he is under no enchantment but his own."

So of the Beornings, only the men (and women?) descended from Beorn, such as his son Grimbeorn, might be skin-changers.

From what Gandalf says, I would guess that there were skin-changers before Beorn.