Ohio Revised Code 2925.11 Possession of controlled substances.
"(a) Except as otherwise provided in division (C)(3)(b), (c), (d), (e), or (f) of this section, possession of marihuana is a minor misdemeanor.
(b) If the amount of the drug involved equals or exceeds one hundred grams but is less than two hundred grams, possession of marihuana is a misdemeanor of the fourth degree."
According to the Cleveland Law Library, (See "IV. Misdemeanors") a minor misdemeanor committed in Ohio carries no jail time and a maximum fine of $150.
Source for Ohio Revised Code. The quickest way to find this law is to search on the page for "(C)(3)(b), (c), (d), (e), or (f)" (no quotes).