The tree in Smashed is actually a Whomping Willow in its natural habitat
- The reason the one at Hogwarts is never seen teleporting its branches is because no one has ever tried to take its sap. The knot on the trunk that causes the branches to freeze is something all of these trees have, and this is what the local people use to collect the sap safely. As for what a tree from South America is doing in Britain? It was presumably imported there sometime in the past to guard the entrance to the Shrieking Shack.
The father in "Greased" killed their mother
Yui said their mother left, but who in their right minds would leave two children in such an unhealthy environment. The father killed her for interfering, and had her body cooked for the restauraunt like Goro.