A Strong Little Game
It's pretty fun, clean, and nicely made. There is a very clear focus on the core gameplay, which simplifies things.
However, I'd like to see a level menu instead of a single save, and a little more graphical variety.
If possible, allow the user to draw their egg. If not, then a little modification of the existing designs, and perhaps adding a few more, would be good.
Also, I think the game would look nicer if the level components were a bit more solid in look, and the backgrounds changed too.
Finally, some damping on the egg after a bounce (or maybe only after repeated bounces between two surfaces) would make it feel that much more natural.
Good job, though. It plays well, without becoming too tricky too fast. I like it. :D