Of course you're accurately recounting what happened to you. It's just that it's so incredible. There are, after all, 38,541 lawyers in Ohio
https://lawschooltuitionbubble.wordpress.com/original-research-updated/lawyers-per-capita-by-state/ (20th highest per capita ratio).
It may well be that you wanted to hire the lawyer on contingency or that there was some other reason why the lawyer doubted the case would be profitable for him or her. And from the client's point of view, paying a substantial retainer usually means the fees will be totally consumed. (I recall once refunding a $9,500 balance of unearned fees and the client's accountant was mildly surprised.)
I would start by telephoning the offices responsible for Ohio lawyer licensing and supervision -- not to complain, but (and say this right away) just to find out why a lawyer might have said what s/he did:
Supreme Court of Ohio, Office of Office of Attorney Services, 614-387-9327.
In general I always suggest people retain a lawyer who has provided good assistance to a friend. Most of those I know who cold-called a lawyer come to regret it, for whatever reason. But then, as one of my early law professors said in class, most lawyers are "plumbers". By which he meant, incompetent. Hopefully not including those he taught: it was at one of the top half-dozen U.S. law schools.