is it legal to solicit money on the internet?

As a very general matter, no it is not inherently illegal in most states to solicit money. But your question can and does become far more complex depending on the specific case by case elements (location, nature of solicitation, nature of the solicitor, etc.) For example, I am sure you are aware the properly organized non-profit organizations routeinely solicit money over the web. If you are asking about the rules in Ohio, you may want to consult an attorney there and provide them the specifics of your needs.

I hope this helps.

Disclaimer: This answer is for informational purposes only and does not constitute general or specific legal advice, nor create an attorney client relationship.