It is illegal to mistreat anything of great importance.

Chapter 29: Miscellaneous Offenses
Section 2927.11
General Assembly: 122.
Bill Number: Sub. House Bill 429
Effective Date: 09/30/98

(A) No person, without privilege to do so, shall purposely deface, damage, pollute, or otherwise physically mistreat any of the following:

(1) The flag of the United States or of this state;
(2) Any public monument;
(3) Any historical or commemorative marker, or any structure, Indian mound or earthwork, cemetery, thing, or site of great historical or archaeological interest;
(4) A place of worship, its furnishings, or religious artifacts or sacred texts within the place of worship;
(5) A work of art or museum piece; (6) Any other object of reverence or sacred devotion.

(B) Whoever violates this section is guilty of desecration. Violation of division (A)(1), (2), (3), (5), or (6) of this section is a misdemeanor of the second degree. Violation of division (A)(4) of this section is a misdemeanor of the first degree that is punishable by a fine of up to four thousand dollars in addition to the penalties specified for a misdemeanor of the first degree in section 2929.21 of the Revised Code.

(C) As used in this section, “cemetery” means any place of burial and includes burial sites that contain American Indian burial objects placed with or containing American Indian human remains.