I have met a few people who have asked that question. In fact a lot of people still wonder if bodysnatching still goes on and if their corpse will be
left in peace after burial. Normally this question is asked once they hear of Burke & Hare, the Edinburgh body snatchers turned murderers.
In early 19th century Britain, the law stated that only the bodies of executed criminals could be used for autopsy purposes. But with the
ever-growing popularity of anatomy studies, the demand for fresh corpses soon outstripped the supply, and grave robbing became common practice among
criminals who wanted to earn an easy pound. - see links below
These days most medical institutions get their bodies from either those who leave them to science or those who die unidentified, although usually even
the unknown receive a 'paupers grave' from the council these days (I'm taking about the UK here).
During the funurals I have attended, if the body is cremated, you just see the coffin either exit through a doorway or curtains cover it. For burials,
the ritual is ended once the coffin is lowered into the grave and the priest speaks a blessing.
W. Smith (1829)
BBC - Burke & Hare
[edit on 27-6-2004 by Pisky]