Tossing in 2 cents worth ... your item may be machine-made (esp since there appears to be black threads in the vicinity of the animal tail , in the body of the fabric) , since such errors would be corrected by a hand-weaver (IMO) right away & not be left as it is now .
I'd guess that it may be wool or cotton & may or may not have been hand-stitched on its' edges .
Got no guess , as to its' country/region of origin , though .
If it were in my mitts , I think I'd just use a cold water mild solution with some woolite (after it passed the test -the dark-colored areas- for colorfast properties) .