A ha ha, that reminded me of another JW folklore: Yes, DefD is right, it landed after the 40 days on mount Ararat. And the JW legend goes: The ark has not been found, but some people have seen a "glimpse" of it, up there in Ararat. But there are continous storms and bad weather in that area, so noone could ever get up there, to where it was placed (and that`s probably Jehovahs doing, to protect the ark). And to this day, noone has been able to get up in that area to the ark, due to the weather.
So the story goes. I remember imagining how it would be like, as a kid, to go on an expedition up there, fighting my way thru the snow storms (have no idea if it snows there, but that`s how I imagined it), in full mountain-climbing gear.