Regarding "giraffe" (2nd last verse?) the song goes

"... my how that giraffe could laugh.
He put beer in his bubble bath..."

Regrding "parrot" (first verse):

"I had a parrot all yellow and green
(chorus repeats the same)
Silliest bird you've ever seen
He could swear like a big marine.

This is followed by:
"Had a canary all white and blue
(chorus)
I'll tell you all that bird could do was ply the harp, and yodel, too.
(instrumental passage follows)

Then:
"I had a horse, and his name was Tex.
(chorus)
Signed his name with an 'X,' and mand his living forgin' checks."
Next:
"I had a lamb I used to keep
(chorus)
When I told him to go to sleep, he counted people instead of sheep.
Next: the giraffe verse, followed by the baby verse.

Q.: was this written before or after "Mule Skinner Blues?"