Searching on the verse phrases turned up gospel precursors almost at once. It is traced by Gus Meade in Country Music Sources to "Glory to the Lamb," publication in Hildebrand, E.T., W.T. Giffe et al, New Onward & Upward, Logansport, Indiana, Home Music Co., 19??, presumed to be circa 1900.

Oldtime ministers and congregations were fond of this bouncy gospel number. Example from a sermon by evangelist W.A. Criswell:

GLORY TO THE LAMB

Untitled, from the W.A. Criswell Sermon Library, http://www.wacriswell.org/Search/videotrans.cfm/sermon/1373.cfm

"Boy, did we have song services then, when I led the singing. And I would teach those kids the songs and I just loved them. And one of those songs that I used to teach these children in Vacation Bible School sang to me last week. Do you remember it?

On Monday, I am happy, on Tuesday, full of joy
On Wednesday, I have peace within nothing can destroy.
On Thursday, and on Friday, I am walking in the light
And Saturday is a heavenly day, and Sunday is always bright.

Oh, glory, glory, glory, oh, glory to the Lamb
Hallelujah I am saved, I'm so glad I am.
Oh, glory, glory, glory, oh, glory to the Lamb
Hallelujah, I am saved and bound for the promised land."

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It's assigned a minor key in the following reminiscence:

Untitled, from "Songs for the Moment," from a blog called God is nice and he likes me, Sunday, February 10, 2008, http://godisnice.blogspot.com/2008/02/songs-for-moment.html

"….My dad found a horror that went something like "Monday I am happy, Tuesday full of joy, Wednesday there are springs within the devil can't destroy, Thursday.... etc etc". You know the type. This song is very minor key, almost desperate in tone, and I love it."

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The gospel song "Glory to the Lamb" was first recorded on 78 rpm by the Kentucky Ramblers for Paramount in Grafton, Wisconsin in September 1930, and was covered by the Carter Family in an American Record Corporation recording done in New York, May 5, 1935 and subsequently issued on labels such as Conqueror. The Carter cut was a durable favorite, re-pressed on Columbia in 1948.

GLORY TO THE LAMB

"Glory to the Lamb," by the original Carter Family, recorded in 1935 and issued on Conqueror and other ARC labels, later repressed on Columbia in 1948.

Cho:        Oh glory oh glory oh glory to the lamb,
        Hallelujah I am saved and I'm so glad I am,
        Oh glory oh glory oh glory to the lamb,
        Hallelujah I am saved and I'm so glad I am.

On Monday I am happy on Tuesday full of joy,
Wednesday I've got the faith the devil cant destroy,
On Thursday and Friday walking in the light,
Saturday I've got the victory and Sunday's always bright,

I fell in love with Jesus and he fell in love with me,
That's the very reason I've got the victory,
I'm happy when it's raining I'm happy when it shines,
I'm happy now with Jesus I'm happy all the time,

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Bob   (more to come in the next message)