Unfortunately, we would not be able to assist you directly, apart from giving you general legal information. Experts here cannot represent JustAnswer customers and act as their lawyers. It a violation of the site's terms of service and the rules of our various bar associations.
However, there are several ways you can look for your son. One way is to look at the Ohio inmate locator. If he's in the system and used his actual full name, you could see where he is and when his next court date would be.
If he was extradited from California and his case is on a particular court's calendar, you can call the clerk of that court and ask for the next court date. Generally inmates are appointed a public defender when they come through the system the way your son did. You could also ask the clerk who his lawyer is. If he's got one, it will be in the court computer.
If the clerk doesn't have information for you, calling the public defender's office is a good idea anyway. They could do a records search for him and give you further information.
Finally, he likely had a lawyer in California. The clerk where he appeared there would have the name and phone number of the lawyer who assisted him in that state. You could get that number and then call that lawyer. He might know something more than what your son's girlfriend can find on a web site.