Over-exposed stained-glass windows?

[CMBessette]

(I couldn't figure out where exactly to post this question )

I few weeks ago I went to the state capitol of Wisconsin (I have some pics in the Critique forum). Anyway, there were a few beautiful stained-glass windows in the ceiling . . they were huge! Well, I tried to get some decent shots of them, but failed completely. The only thing I could think of was trying different shutter speeds . . when faster, the ceiling surrounding the window would be under-exposed . . when slower, the window would be over-exposed. What should I have done so I know for next time? (Or is it not even possible?) Thanks! :aureola: