In a polar covalent bond, electrons are not between?

In a polar covalent bond, the bonding pair of electrons in the bond are attracted more strongly to one molecule than the other. This means the electrons are pulled closer to one atom than the other.

In the example of water, the electrons, in the hydrogen-oxygen bond, are more attracted to oxygen and therefore the electrons are drawn closer to the oxygen. This leads to a slightly negative charge on the oxygen and a slightly positive charge on the hydrogen.