Here are words to songs in 4/4 time - all in the public domain.
They accompany Math while Moving - Clapping Patterns and Sets.

1. Red River Valley
2. My Grandfather's Clock
3. Alouette
4. Evening Prayer from Hansel and Gretel

1. Red River Valley
Traditional Cowboy Song
4/4 Time

From this valley they say you are going,
I shall miss your sweet face and your smile,
Just because you are weary and tired,
You are changing your range for a while.
Refrain
Then come sit by my side if you love me,
Do not hasten to bid me adieu,
Just remember the Red River Valley,
And the cowboy who loved you so true.

2. My Grandfather's Clock
by Henry C. Work (1832-1884)
written in 1876
4/4 Time

My grandfather's clock was too large for the shelf,
So it stood ninety years on the floor.
It was taller by half than the old man himself,
Though it weighed not a pennyweight more.
It was bought on the morn of the day he was born,
And was always his treasure and pride,
But it stopped short, never to go again,
When the old man died.
Refrain
Ninety years without slumbering,
Tick, tock, tick, tock,
His life seconds numbering,
Tick, tock, tick, tock,
It stopped short, never to go again,
When the old man died.

3. Alouette
French Canadian Folk-Song
4/4 Time

Alouette, gentile Alouette,
Alouette, Je te plumerai,
Je te plumerai la tete,
Je te plumerai la tete,
Et la tete, et la tete,
Et la tete, et la tete.
Alouette, gentile Alouette,
Alouette, Je te plumerai.

4. Evening Prayer from "Hansel and Gretel"
by E. Humperdinck (1864-1921)
4/4 Time

When at night I go to sleep,
Fourteen angels watch do keep:
Two my head are guarding,
Two my feet are guiding,
Two are on my right hand,
Two are on my left hand,
Two who warmly cover,
Two who o'er me hover,
Two to whom 'tis given,
To guide my steps to heaven.

Related links:
Math while Moving series
Math while Moving - Counting
Math while Moving - Addition and Subtraction
Math while Moving - Learning to Tell Time
Math while Moving - Clapping Patterns and Sets
songs
Songs for a Circle Dance
Songs in 4/4 Time
Songs in 2/2 Time
Songs in 2/4 Time
Songs in 3/4 Time
Songs in 6/8 Time


Here is a book of very easy piano music, words and nursery rhymes that I've used more than any other! It can be ordered from Amazon.com at this link:
The Nursery Rhyme Book - a piano book