I learned it a bit differently.

The first stanza is the same but the remaining stanzas are as follows

“ No silly Jack O Lantern shall I make” he said.
“I’m determined to remain a useful fellow”

“ For the glory of the Jack is in the lantern
On the gatepost where they set him up so high
And the glory of the turkey is the drumstick…
But the glory of the pumpkin is the pie!”

I sing this to my grandkids every fall.