Answer:
I carry you down a gentle stream.
I am cracked by Indiana Jones.
Of the king I am blue and of the peasant I am red. Of the frog I am cold and of the dog I am hot instead.
I hold two people together but touch only one.
I run around the city but I never move.
Some women don't like to be called that, yet every woman wants one. It cries and makes a lot of noise, but smiles and gurgles when you give it toys.