The H1 is a pretty capable camera. First off, since you say that things close to the glass come out fine, i'll assume that you've found the macro feature for your camera and activated it.
Secondly, blur will typically occur due to 3 reasons.....shutter speed is too slow, camera is shaking too much, or the lens/camera/subject is out of focus. Sometimes it is also a combination of those 3. You can throw out one of those factors immediately if you have a tripod. If you can, get familiar with your camera and play around with adjusting the shutter speeds. Put the camera in shutter priority and play around with the settings until you can freeze the subject. Also, i find that the aquarium can play tricks on the autofocus of the camera. Since the min. focus distance of that camera is 2cm in macro mode, it might just be that the camera is focusing on the aquarium glass and not on the coral behind it. Put the camera right up against the glass.
You can also put the camera in manual focus mode and manually have it focus 6" away. This is where a tripod comes in handy. Instead of trying to fine tune the focus range on the camera, you can just move the tripod closer and further until you find that sweet spot. This works especially well when shooting corals and other "still" subjects but not so well when shooting things that move. HTH.