I'd think that within the government it's largely on a need to know basis somewhat like the extraterrestrials...but then that might encompass more than one might initially think, in that their presence must impact a pretty broad range of industry and business, as well as state and national parks, public safety, hunting, and the various militaries with their remote bases.
Of course there's a number of variables or unknowns(to us laypeople, at least)that would effect how the government deals/interacts with them. For example, if theyre "just" wood apes, then it's much more an issue of simple wildlife management somewhat akin to bears. Whereas if they're a hominid of some form, sentient, cognitive creatures with clearly social traits akin to our own, that involves an entirely different course of oversight. And then should it turn out they are indeed capable of language and a comprehension of abstract concepts, then our management takes on a whole new complexity, perhaps even viewing them as "a nation" of their own.
Now if theyre actually shapeshifting multidimensional creatures, that might put us at something of a disadvantage trying to control them.
If this brief list, each successive level would require greater involvement in order to contain, and in a sense this would hinge on how far the government is willing to concede in regards to their capabilities.
But presuming it's one of the first two or there abouts, no doubt the heads of big timber, minings and forestry know of them, on a front line basis as it were. As well as the military bases(Fort Lewis/McChord, for example) Would the dept of Commerce be involved? Possibly....Fish and Game has got to have some faction in the know...dept of the interior, homeland security(especially If they re crossing back and forth from canada) and this is just off the top of my head.
But the question becomes who issued the hush order? And what's the result of disobeying that? How far up does it go ? Can't really say.....or wont? Lol