There are a couple of chants that are used for dancing the labyrinth.

"We are a circle
Within a circle
With no beginning
And never ending"

I've forgotten the dance to that one, and you may be able to find the melody by a search.
Let me know if you need the melody.

"Spiralling into the center
The center of our shield
Spiralling into the center
The center of our shield

I am the weaver, I am the woven one
I am the dreamer, I am the dream
I am the weaver, I am the woven one
I am the dreamer, I am the dream"

For this one, the dance is very simple, it's basically just walking to the beat. Walk right, walk left, walk right, rock back on left. (That's known as the "four seasons" step, going forward for Spring, Summer, and Fall, then "resting" for Winter before starting again.)
So, let me know if you need the music for that.

I have no clue who wrote those, they are "classic" chants but may not be public domain.

Hope this helps!
~*sirepseh*~