Over watering my Bromeliad

I've owned this Bromeliad for over a year now. I was very excited was I saw growing pups (babies). And now with pups I don't know why I choose to over water it now. It seems the plant roots had rotted.  The mother plant and one of the pups had fallen off.

 

Do you think I can save these two plants? One pup is still attached to the roots. I wonder if I could keep this one alive.

 

Anyone out there that have experiences with bromeliads please let me know.

Here are two pups from my other bromeliads that I've harvested. Look how good they are doing. :)