Service Dog of non-tenant...how to handle

[Michael Masterson]

I have a tenant who has been in my property for quite some time. Truth be told not exactly the best (typically late, noise complaints from my other units, parks in grass, etc) 

I've just found out that she had someone move in who is not on the lease, and also has a pet who claims to be a service dog with legitimate papers. 

That being said-am I within my rights in Ohio to provide this tenant with a 30 day notice since they 1) have someone living there without approval 2) have a pet when I have a strict no pet policy?

I'm planning to have a property inspection in the next week so I can document that there is in fact a dog, and also to assess the condition of the unit. 

From there I was planning to give 2 options. Sign a new lease, with a higher rent and provide a pet deposit or leave the property within 30 days. 

I'm aware of ADA guidelines, and don't have a problem with service animals.
I have a problem when people outright lie to me and I have a tendency to make things a little personal so I want to make sure I'm being fair since in the past I have been a little "lax" so to speak on this tenant/property in the past.

Just curious what some of you would do-or if you've had a similar situation. 

It should also be noted that I can likely fill this unit rather quickly for more money than I'm receiving now with very minimal turn costs.