I initially thought the glass also rested on their heads, but I’m not so sure. There isn’t really any way to secure it on there, and it would be very easy to bump the glass and have it fall off. The geese seem to be weighted inside to prevent tipping though, but having a sturdy heavy base would be needed in either configuration. I am more inclined to believe that the glass goes on the back of the geese, as it is perfectly flat and the necks keep it from sliding off in two directions. I was hoping to find a similar item in a google image search, as that would likely show how the glass should be placed and it would also indicate this is not a one of a kind item.