From Memory's Milestones: Reminiscences of Seventy Years of a Busy Life in Pittsburgh by Percy Frazer Smith, Pittsburgh: Murdoch-Kerr Press, 1918, page 230:

DO YOUR BEST FOR ONE ANOTHER

MANY a bright, good-hearted fellow,
Many a well deserving man,
Finds himself some time, in trouble;
So then help him if you can.

Some succeed at every turning —
Fortune favors every scheme ;
Others, too, just as deserving
Have to pull against the stream.

So then — Do your best for one another,
Make this life a pleasant dream ;
Help your worn and weary brother,
Pulling hard against the stream.

You can find the chorus quoted in several old books, but the words vary somewhat—for example:

From Sunshine, for 1868 edited by William Meynell Whittemore, London: William Macintosh & Co., 1868, page 154:

Do your best for one another,
Making life a pleasant dream,
Don't refuse to help a brother
Pulling hard against the stream