She currently has possession which might be a plus but for her to continue to pay costs and not be guaranteed any residual from estate is tricky.

You need possession asap, they need a deposit for a new rental (likely they've not even begun searching).  

Am I correct in that this is just to get possession.

I like a Delayed Sale and Purchase Agreement with Rights of Possession.

The risks that may be associated with this investment  are if the company becomes insolvent, but even that risk is marginalized as you still have an actionable deed, purchased at 60-70% of value, to a house that you can foreclose and take full possession.2.

If you have a tax deed, insurance is not a problem.Remember that in Alabama the former owner still has redemption rights, for up to 3 years after you take possession.

The seller may try to recover possession of the property through a foreclosure action if the contract has been in effect for five years or more and you have paid more than 20 percent of the purchase price."

Now one of them told us that he has a misdemeanor in 2013 for drug possession.  

So on the 7th do I need to file eviction or can I just take possession of property since they have technically vacated??

I just took possession just under 2 weeks ago and boy I have learned a lot in that short amount of time (I actually am going to be starting a blog here shortly to share what I have learned so keep an eye out).