The wild beasts of the desert
tsiyiy  (tsee-ee')
a desert-dweller, i.e. nomad or wild beast -- wild beast of the desert, that dwell in (inhabiting) the wilderness.
shall also meet
pagash  (paw-gash')
to come in contact with, whether by accident or violence; figuratively, to concur -- meet (with, together).
with the wild beasts of the island
'iy  (ee)
a howler (used only in the plural), i.e. any solitary wild creature; --wild beast of the islands.
and the satyr
sa`iyr  (saw-eer')
shaggy; as noun, a he-goat; by analogy, a faun -- devil, goat, hairy, kid, rough, satyr.
shall cry
qara'  (kaw-raw')
to call out to (i.e. properly, address by name, but used in a wide variety of applications)
to his fellow
rea`  (ray'-ah)
an associate (more or less close) -- brother, companion, fellow, friend, husband, lover, neighbour, (an-)other.
the screech owl
liyliyth  (lee-leeth')
a night spectre -- screech owl.
also shall rest
raga`  (raw-gah')
to toss violently and suddenly (the sea with waves, the skin with boils); figuratively (in a favorable manner) to settle, i.e. quiet; specifically, to wink
there and find
matsa'  (maw-tsaw')
to come forth to, i.e. appear or exist; transitively, to attain, i.e. find or acquire; figuratively, to occur, meet or be present
for herself a place of rest
manowach  (maw-no'-akh)
quiet, i.e. (concretely) a settled spot, or (figuratively) a home -- (place of) rest.