Hi Kat, I am no real expert on photography, but placing your lovely swan on a plain white background will help us to see the detail better.
Two sheets of white card placed so that one is flat on the worksurface and the other propped up behind it so the join is minimal will make a good temporary back and foreground for your glass.
Place the swan close to the back so you get minimal shadowing and take the picture in good daylight but not flash or direct sunlight.
This should help you get a nice clear picture of the shape of the swan and the angle of the head to the neck.
Give it a go.....and see then if you can add your picture here direct instead of via a link. Try the attach and browse facility, it is simple once you get used to it. I have posted an example below which migh help to show how the white background helps.
You can see how much better the paperweight would have looked on a white background.....I hope!