Although the photograph linking Hitler and Obama over gun control were re-posts from another Facebook page that includes pro-gun and anti-Obama posts and photos, and Terhar said later she regretted "the consequences of carelessly sharing that photograph," Ohio Democrats called for her removal from office by Gov. John Kasich if she did not apologize.
"President Terhar's invocation of Hitler is dangerous and should not be tolerated by Gov. Kasich and the rest of the state school board," Ohio Democratic Party Chairman Chris Redfern said.
Kasich, through a spokesman, said she would remain in her post.
Both Kasich and Terhar are Republicans, The Cincinnati Enquirer noted Wednesday.
"I did not compare our president to Adolf Hitler," Terhar said in a text message, noting she re-posted the message without researching it because it referred "to gun control. It is a hot button issue today."