For all of the above mention of "Walleys," please correct the usage to TOE Walley.
The relation between toe walley and walley is the same as the relation between toe loop and loop. You wouldn't refer to toe loops as "loops" for short, probably not even in the context of discussing the difference between toe loops and toe walleys, so please do not refer to toe walleys as walleys for short.
Walley is an edge jump that takes off the back inside edge. We see single walleys now and then as a connecting move -- it is not a "listed jump" in the IJS scale of values.
Toe walleys, like toe loops, are toe jumps.
Toe walley would generally be done by turning a FO three and then putting the other foot down onto an inside edge rather than an outside edge as for a toe loop from the FO three entry. In either case, the skater would then pick with the now-free foot.
However, most examples we see in competition the skater actually did step onto a back outside edge, so it really was a toe loop after all.
Hence the decision early in the history of the Zayak rule to consider toe walley and toe loop the same jump for purposes of allowed repetitions.
I don't know offhand of a good example of a true triple toe walley.
Here is a clear example of a single toe walley off an obvious inside edge, without a turn preceding.
And
here is a video showing half toe walley, single toe walley (with the preceding three turn and change of foot, but shallow/unclear takeoff edge), and single walley, to show the difference between toe walley and walley.