Center as a name does sound logical. It is unlikely that "hunter" would be used when it appears in the 4th line and "centaur" would bring a new element into Bangum.
The Stecher version is the most amusing of the lot, with echoes of the wild David Crockett tales (David because Crockett hated "Davy"). Here are the remaining Stecher verses:

How can I this wild boar see?
Wind well thy horn, he'll come to thee.
He put his horn up to his mouth
Old Bangum blew it north and south.

He blew it high into the air
The wild hog heard it in his lair
The wild boar came in such a rush
Tearin' his way through the oak and ash.

Old Bangum caught him by his tail
And with a hickory him did flail
They fought four hours of the day
And at last the wild hog run away.

Old Bangum traced him to his den
There he found the bones of a thousand men
Old Bangum drew his wooden knife
He rid that wild boar of his life.

The wild boar roared out such a sound
That all the oak and ash fell down
Come a wild woman over the brig
You rogue you've killed my darlin' pig.

Now there's three things I'll have of thee
Your hawk, your hound and your gay lady
These three things you'll not have of me
She flew at him ferociously
He split the old witch wife to the chin
And on his way he did begin.

(Six lines in the last verse? Have I split it up wrong or is something missing in the text at the website I copied?