Here's a set of lyrics reportedly from the sheet music, which I copied from http://movementvictoygarden.blogspot.com/2008/05/plant-little-garden-in-your-own-back.html:

1. I've been reading in the papers that the price of food is high.
"Cut the prices! Cut the prices!" is the nation's cry.
Now I've got a dandy little scheme that you all should try:
Go and raise the things you need, the things too high to buy.

CHORUS: Plant a little garden in your own back yard
Where the green grass used to grow.
Plant some nice potatoes,
And some red tomatoes.
Buy a rake and hoe.
You'll have plenty for the wife and kiddies bye and bye.
You should worry if the prices go up to the sky.
Take my advice and plant a little garden in your own backyard.

2. There's a saying in the Bible that you all have heard a heap:
Just get busy; just get busy; don't you fall asleep.
Never mind the man across the street; your own counsel keep.
The Bible says that as you sow, that is the way you'll reap. CHORUS