Even thought there is no kind of rental agreement or anything like that?
You can try this the easy way, or the hard way.
Easy way:
You: Betty, daddy has nice gift for you.
Betty: What, daddy?
You: I have a ONE WAY airline ticket leaving in 48 hours (bus or Amtrak ticket, too if that works for YOU) and $200 in cash as a special gift so you can go live with, mommy. Now you better hurry up and pack your stuff, so you can get on your happy way.
Netty: daddy, that is so nice, thank you.
Hard way:
You must do the following and ONLY in the order specified.
Before filing the eviction lawsuit with the court, the landlord is required to give the tenant a seven-day notice to vacate the premises.
The notice must state that the tenant has seven days to pay rent or the lease will terminate and eviction proceedings will begin (see Ky. Rev. Stat. Ann. § 383.660(2)).
In your case, since she paid (pays) no rent, you're simply giving he notice to leave no later than seven days from the date you give her the letter.
A lengthier explanation is provided on this website:
The Eviction Process in Kentucky: Rules for Landlords and Property Managers