A lease option is simply a lease agreement and an option agreement. They are technically two different contracts.
Are you talking about buying on a lease option? If the seller of a lease option dies, you still have your rights as a tenant according to the lease terms and your option is still valid, you can exercise it and pay the estate.
What you are describing is a sandwich lease option I think, which is where you lease the house from someone with an option to buy, then turn around a sell it the same way, but at higher dollars. Pretty risky in my opinion. I think a better way to do that kinda thing is to help the seller find a L/O tenant and collect a fee for putting them together.
That strategy worked well 3-4 years ago when houses were hard to sell and money loans were hard to come by. The market has changed quite a bit since then in most areas. Still can be done, of course, but not sure that's what I'd be focused on starting out. You have to use strategies that fit current market conditions.
Brian Gibbons on here teaches a lot on that sort of stuff, I'd start reading his posts if I were you.