I've scoured and researched all I could for this answer but I couldn't find a modicum of information about it. My university class was asked to compare the middle ages with modernity using Monty Python's The Holy Grail as a satirical reference. When the "Bring Out Your Dead" scene finished I wasn't sure if they actually did that, burned them, or buried them. Any help would be fantastic!
The bring out your dead scene is parodying the plague, a time when people were dying incredibly quickly and bodies really did have to be carted off in large numbers. During most of the Middle Ages in England, there was not a plague, and bodies were treated on an individual basis. Whether they were moved to cemeteries on a cart or not depended entirely on local practice, distance from the place of death to the church yard, etc.
Roman Catholics did not burn their dead, as they were looking forward to the resurrection of the body. If the body was burned, it would not be available for resurrection in the end times. Instead, they buried their dead in hallowed ground, literally in the church or in the yard surrounding it.
You may wish to look at Christopher Daniell's Death and Burial in Medieval England: 1066-1550 for specifics about burial practices in Medieval England.
hi! fyi, you'll find some additional info on "bring out your dead!" in this post