Well, you'll be purchasing two life insurance policies - one on your mom, and one on your dad.
Any website you start on, is basically just getting the name and contact information, so they can come and do the paramedical exams on mom and dad and get them to sign off on the paperwork.
There are some excellent online life insurance brokers that can handle the life insurance application and purchasing process completely online, such as, Efinancial which has a network of more than 70 highly-rated life insurance companies.
You can compare instant life insurance quotes online and their licensed representatives can speak with you over-the-phone to walk you through the entire buying process.
There are even some no exam life insurance plans available for people over age 50. Here's how you can learn more about Efinancial and request free life insurance quotes online for your parents.