Poor you, joanna0211, it sounds scary - last thing you need with a new lo.
Firstly, congratulations on the birth of your baby 
Secondly, I don't know anyone who has died of a dvt, but I have seen a few people on MN over the years who've had one, been treated, and been fine. But it is scary, obviously.
Have you tried running a search on old messages? I'd do one for you, but have dd2 shouting...worth a try though, because I definitely remember women with the same problem in the past.
Hope the doctors are reassuring you - I imagine you are on blood thinners, and once you're being treated your risks go way down (at least, they do with a stroke, so I imagine similarly for a clot).
Good luck, will check back later x