Exploiting death like a funeral home. Think about it...
And I don't mean exploit in a bad way.
one method could be a service for keeping it up after x amount of months/years... make the price point really low like $12/yr billed yearly.
then its a volume game.
But really, though. How will it make money if it doesn't sell ads? Future business extensions? I'm not being cynical or critical, I'd just genuinely be interested since a lot of smart people invested in it.
One obvious way is to get the memories onto physical media or devices and sell it - a 1000 memories digital photo frame or album for instance.