I think I can purchase the property for substantially less with a cash offer vs obtaining financing and prolonging a closing date.

(Roof, windows, doors, HVAC)- large fenced in backyard - 2 car driveway in a location where driveway is not common- Overall, interior is up to date and property is in a good condition and area.How would one should approach this to make it work for both parties?

If it were managed well, and had up to date utilities, I feel it would be a decent investment. 

So I was thinking about offering them a 13 month lease with 1st months rent and security due on March 1st (2nd month of the lease), and a move in date of March 1st and possible sooner with a prorated rent amount if they chose to move in before March 1st.

@Ron SinghWith New Western if we are unable to provide free and clear title within 2 weeks of the close date, you have the option to get your 5k down payment refunded or put towards another deal.

But she doesn't want her lease start date to be another month and a half from now.

It has the added benefit of improving the speed at which we can accumulate properties too since we're adding value.  

She dates the video and files in on her computer.

I think that this going to be a great refinance that will get you better cash flow, or speed up the repayment period. 

You should ask for date information.