A person that possesses any of the following animals shall register the animal in the same manner as provided in section 935.04 of the Revised Code:
(A) Pygmy, white-tufted-ear, silvery, and black-pencilled marmosets;
(B) Squirrel monkeys;
(C) Brown, white-faced, weeping, and white-fronted capuchins;
(D) Lemurs.