My question involves police conduct in the State: ohio

Back in July,* I was caught for stealing a shirt. It was a first time offense and was reduced to Disorderly Conduct. It was definitely a huge wake up call and the last time I would shoplift, however,* it was also not the first time I did it either. I got a new job and have been honest with the employer about my past. The company requires* fingerprinting prior to employment because it is in the financial services industry. I'm concerned that getting myself fingerprinted may somehow end up tying me back to older shoplifting offenses. I'm sure it's possible, I'm just trying to figure out how probable it is. Is this something I should be concerned about?* I should have probably included some more information.* I'm not worried about the fingerprints tying me back to this specific instance. I'm concerned that the fingerprints will somehow tie me back to another offense that Was not caught (I've heard specific stores have forensic labs and lift prints off of evidence left in the store). I'm really just worried about receiving another offense and going to jail.