Found this re: woman fined $100 for posting something the Ohio Elections Commission had as a statute, but it was overturned as unconstitutional.
Maybe the cop, although sounding from the article is very "red", could have been operating under this since proven unconstitutional statute:
http://www3.uakron.edu/lawrev/whitt1.html<snip>
B. ProcedureAt the hearing before the Ohio Elections Commission, Mrs. McIntyre was charged with violating O.R.C. 3599.09(A),55 which requires any written communication "designed to promote . . . the adoption or defeat of any issue, or to influence the voters in an election,"56 be identified with the name and address of the person who "issues, makes, or is responsible"57 for the communication. The Ohio Elections Commission found Mrs. McIntyre in violation of the statute and imposed a $100 fine.58
Mrs. McIntyre instituted an appeal of the decision of the Ohio Elections Commission with the Franklin County Common Pleas Court.59 The common pleas court reversed the finding of the Elections Commission, holding that O.R.C. § 3599.09(A) was unconstitutional as applied.60 The State appealed, and the Tenth District Court of Appeals of Ohio reversed the trial court.61 The case then proceeded to the Supreme Court of Ohio on a motion to certify the record.62 The Supreme Court of Ohio found the statute constitutional and upheld the original finding of the Ohio Elections Commission, with Justice Craig Wright casting the lone dissenting vote.63