I just re-read the effusively-titled paper Recursive Functions of Symbolic Expressions and Their Computation by Machine, Part I by John McCarthy, which describes the original implementation of Lisp. What you may or may not know is that Lisp contained the first garbage collector in 1958. The original stop-the-world mark-and-sweep algorithm is described very succinctly in three paragraphs:
Nothing happens until the program runs out of free storage. When a free register is wanted, and there is none left on the free-storage list, a reclamation cycle starts.
First, the program finds all registers accessible from the base registers and makes their signs negative. This is accomplished by starting from each of the base registers and changing the sign of every register that can be reached from it by a car − cdr chain. If the program encounters a register in this process which already has a negative sign, it assumes that this register has already been reached.
After all of the accessible registers have had their signs changed, the program goes through the area of memory reserved for the storage of list structures and puts all the registers whose signs were not changed in the previous step back on the free-storage list, and makes the signs of the accessible registers positive again.
Of course back in those days, “stop-the-world” was quite literal:
Its efficiency depends upon not coming close to exhausting the available memory with accessible lists. This is because the reclamation process requires several seconds to execute, and therefore must result in the addition of at least several thousand registers to the free-storage list if the program is not to spend most of its time in reclamation.
A footnote (added in 1995) reads:
We already called this process “garbage collection”, but I guess I chickened out of using it in the paper—or else the Research Laboratory of Electronics grammar ladies wouldn’t let me.
 “Recursive Functions of Symbolic Expressions and Their Computation by Machine, Part I.” Communications of the ACM 3:4, April 1960, pp. 184–195.