I know how scary this can be, but apparently it is fairly common. I had bleeding around 12 weeks, but not as bad as yours sounds. Apparently it can be caused by a small seperation of the placenta from the uterus wall (or a small tear in the uterus wall), neither of which are harmful to the baby.
Of course, some women do miscarry, so it is a worry. I understand that it is more usual for miscarraige to be accompanied by pain and clots, so its good that you have neither.
I was really worried when this happened to me, so I paid for an ultrasound scan just to make sure that the baby was still there and the heart beating. If you aren't able to do this, then unfortunately there is not much you can do for reassurance.
Not sure what else you expected from the hospital. Has your bleeding stopped?
Sometimes bed rest is recommended. But some people think that bed rest does not help. I didn't want to move around too much when I bled and just took it easy for a couple of days. As I understand it, there is nothing that the doctors can really do about bleeding (as frustrating as that is). Perhaps the best thing for you and your baby is to try and get some sleep if you can.
Good luck. I hope all goes well.
Maybe a mw or someone with more experience will post here for you soon.