On the BBC h2g2 site, I found an extended "Simple Gifts" of three verses, not Animaterra's; and I would like to know where these come from. The new verses are obviously modern in thought and cast. I am not familiar with the h2g2 site, but there is an entry ID that may belong with the song on the same page: A882119. The way the song is presented would lead one to think that all 3 verses are by Brackett.

The eight lines we all know start the song, as Joseph Brackett of Alfred, Maine, wrote them in 1848 ("The Gift to Be Simple"). I will enter the whole song as it appears in the BBC site:

SIMPLE GIFTS
by Joseph Brackett Jr. (1848)

'Tis the gift to be simple, 'tis the gift to be free,
'Tis the gift to come down where you ought to be,
And when we find ourselves in the place just right,
It will be in the valley of love and delight.

When true simplicity is gained,
To bow and to bend we shan't be ashamed.
To turn, turn will be our delight,
'Til by turning we come round right.

'Tis the gift to be loved and that love to return,
'Tis the gift to be taught and a richer gift to learn,
And when we expect of others what we try to live each day,
Then we'll all live together and we'll all learn to say,

When true simplicity is gained, etc.

'Tis the gift to have friends and a true friend to be,
'Tis the gift to think of others not only to think of "me,"
And when we hear what others really think and really feel,
Then we'll all live together with a love that is real.

When true simplicity is gained, etc.

http://www.bbc.co.uk/dna/h2g2/classic/A882119: Simple Gifts