I have a good one - what stays in one corner but travels around the world?

Riddle:
Only one colour, but not one size,
Stuck at the bottom, yet easily flies.
Present in sun, but not in rain,
Doing no harm, and feeling no pain.
What is it?

Riddle:
It can't be seen, can't be felt, can't be heard and can't be smelt. It lies behind stars and under hills, And empty holes it fills. It comes first and follows after, ends life and kills laughter. What is it?

Riddle:
There's one "sport" in which neither the spectators nor the participants know the score or the leader until the contest ends.
What is it?

Riddle:
Try deciphering this code - S T O E E I T A E S S S I N O Y (Hint - count and you will have the answer!)

Riddle:
In 2000, a 40-year-old doctor told his son that when a little boy he decided to be a doctor by seeing an internet web site about performing a heart transplant on a puppy with a defective heart so that the puppy would live a normal life. I

then thought that I would be a doctor so that I could help people in a similar way. What is the defect in this story?

Riddle:
A boy has as many sisters as brothers, but each sister has only half as many sisters as brothers.
How many brothers and sisters are there in the family?

Riddle:
A prisoner is told, "If you tell a lie we will hang you; if you tell the truth we will shoot you." What can he say to save himself?

Riddle:
What is the difference between a schoolboy studying and a farmer watching his cattle?

Also, roosters don't lay eggs??!?!

Okay so this riddle is from one of the Dragonkeeper books, but I actually can’t remember the exact words! It goes something like this:
Two eyes above, one foot below. No need to hurry, so I go slow. Wherever I travel, my home goes also. What am I?

Did the egg roll down?