Background
The Spring of 1945 was not a good time for the Luftwaffe. Large numbers of Allied fighters were patrolling the skies over the Reich, bombers were decimating the factories, the transportation system, and the whole industrial complex. They were also bombing and strafing air bases wherever they found them. The Me-262 was slowing down the rate of attrition, but not stopping it.
The idea for the Bachem Ba-349 "Natter" was that it would be built of wood, and instead of factories, it would be built in woodworking shops, requiring no strategic materials except the rocket engine and the armament.