"Throw your jerry out the window; let the doggone shack burn down."
–posted here at Mudcat

"Throw your trunk out the window, let the doggone shack burn down"
–WESTERN PLAIN as sung by Van Morrison, quoted here.

"Throw the chili out the window and let the dag burn shack burn down."
–quoted in a memorial page to Doug Sahm (of the Sir Douglas Quintet); no specific attribution

"Throw my baby out the window, let the joint burn down"
–CARNIVAL TIME (apparently a favorite Mardi Gras song), sung by Al Johnson, quoted here

"Push my suitcase out the window and let the fool house burn on down"
–CALIFORNIA BLUES, by Jimmie Rodgers, as sung by Tim O'Brien, quoted here.

"Just put my trunk out the window and let the house burn on down"
–CALIFORNIA BLUES, by Jimmie Rodgers, as sung by Merle Haggard, quoted here

"Landlady throw that gallon jug out the window, let the shack burn on down"
–quoted in an apparent work of fiction, here

–all found by Googling for "out the window let the * burn down"