Most don't flower but once. Seperating depends on which bromelliad it is. Photo's are big help.

It sounds like a Vriesea splendens (or type of). Sounds like you are doing everything right. The pups will grow and overtake the mother plant, so it sounds like the mother gave two pups and one grew out of the center making it look like the mother kept growing. As these can grow as epiphytes, there isn't really a need to split and re-pot them (unless they get to be too large of a clump for you). They might enjoy a little foliar fertilizer sometimes, but if you got them to re-bloom I think you are doing fine.
-andy

Hi krwor2,

Welcome to our friendly forum. It's good to see another member from the UK contingent coming on board to share knowledge about our favourite plants.

As HDD says, when trying to get ID, it helps a lot if you are able to post a picture of the plant. I tend to agree with Andy from your description, and from what you say your plant seems to be doing just fine with the treatment your are providing.

I've found that if a plant is doing well, don't change your cultural methods. In other words, follow the old adage that "If it ain't broke, don't fix it".

All the best, Nev.

Hi all,

Thanks so much for the responses. I'm posting a picture at the link below - from looking online, I think you're right about it being Vriesea Splendens. I really like some of the online shots with many pups in one pot, so I've decided not to split it. Thanks again for your help!

xKate

Here is a link that might be useful: Picture