Thanks for all the responses, it seems that we all have pretty much similiar stories to tell.
Loneylane, I don't believe my symptoms are as severe as those described for Uveitis/iritis - I don't really have any pain nor light sensitivity, just "leaking" eyeballs - but I'll definately talk with my eye doc. about it.
stogieFL, you may be right in blaming the Prednisone for this, and maybe it's the cause for my issues also. I have never suffered from alergies of any kind, although living in Florida with it's year 'round growing season does change everything for us northern transplants.
The resource I read that named UC as also responsible for possible eye problems identified "inflamation" of the eye as the expected result.
The only medication that relieves my UC to any extent is Prednisone and I can't seem to get below 10mg/day without major UC symptoms recurring, so I've been ingesting Pred. for a good part of the last several years while trying the many maintenance meds. Could it (the pred.) be trying to fight some UC eye inflamation and my eyes are naturally tearing as a result of that? A good question for my GI.