The genus Panthera, which includes the tiger, lion, leopard, and jaguar, is apparently about 5 million years old. Of extant species, the tiger seems to have split off first, about 2 million years ago. Lions, leopards, and jaguars are more closely related to one another than any of them are to the tiger.
No, those are semi-nomadic Neanderthals. They don’t really move around much-- they just kind of “meander” from place to place. 
Ligons are almost always sterile, but tigons are often fertile.
That should have been “ligers”, not “ligons”…