Can't find the lyrics anywhere. I can make out many of the words, but in some spots I can't. That's the case for a lot of the Roy Rogers movie songs, unfortunately.

"The Wigwam song" Is from the 1944 movie "Song of Nevada", and is sung by Mary Lee.
It can be heard here

Here are the lyrics as I can make them out;

[Whooping]
Hey-o hey-o, hey-o hey-o
In the land of sky blue water lived an Indian maid
Sighing wind and laughing waters sang her serenade
When at night her lover came, he did linger long
She would set his heart aflame with this little song

(chorus)
Wigwam, by-lo, ballamichi ki-mo,
Wigwam, by-lo, ballamichi ki-mo,
Wuh wuh! (wuh wuh)
Sweet and lovely comes that haunting melody
Wigwam, by-lo, ballamichi ki-mo,
Wuh wuh! (wuh wuh)

Maiden, tell me wigwam by-lo _____teepee_____
Then she blushes balamichi ki-mo, she won't tell the rest
She just smiles and every heart beguiles with her
Wigwam, by-lo, ballamichi ki-mo,
Wuh wuh! (wuh wuh)

All those warriors are paradin' to impress this dusky maiden
But she smiles and keeps them waitin' while she sings her song:

(chorus)
Oh,Wigwam, by-lo, ballamichi ki-mo,
Wigwam, by-lo, ballamichi ki-mo,
Wuh wuh! (wuh wuh)
Sweet and lovely comes that haunting melody
Wigwam, by-lo, ballamichi ki-mo,
Wuh wuh! (wuh wuh)

Maiden, tell me wigwam by-lo _____teepee_____(nest, maybe?)
Then she blushes balamichi ki-mo, she won't tell the rest
She just smiles and every heart beguiles with her
Wigwam, by-lo, ballamichi ki-mo,
Wuh wuh! (wuh wuh)


Hey-o hey-o, hey-o, hey-o
Hey-o hey-o, hey-o, hey-o
[whooping]

As a postscript, she then shouts "How!" and Roy retorts "Hen House!"