@Kyle Lehnhoff I have a real estate agent that I will be working with to help find suitable properties.

In the situation you're describing, the tenant who is leaving would be responsible for the lease until he is able to find a suitable replacement.  

I tell him this . "  You are renting the house and the land , you are in charge of who you want to visit or be on the property ( except for me doing maintenance or inspections )  I wont put up signs , but you can , and if someone trespasses you have the right to have them arrested .

If both tenants are on a lease, they should be bound to it until unit is rented to a suitable replacement.

You can either just simply let her out of the lease or let her out once you have found a suitable replacement.  

Simply declined them as suitable tenants due to an incomplete application.GailP.S.

You do not have to prorate the rent for this month.IF this tenant finds a suitable replacement for herself (and that person begins paying rent before the end of September) THEN your tenant would have a legal reason to have her rent prorated for this time period.  

You would be farther ahead to find more suitable tenants. 5 kids will destroy the property.

@David Tiemann you are not obligated under the ADA to make the changes, but you must allow the tenant to do so for disability, and then return it back to original condition  when they vacate if it would not be suitable for the next occupants. 

The police report would make a fine list.If you have a non-smoking property and your lease says so, then any sign of any type of smoking on your next visit or inspection should trigger a notice to quit.