Your confusing sigma orbitals with s orbitals.
MOLECULAR ORBITAL THEORY IS ONLY USED WITH BONDING: As such you will always have more then one atom present when you envoke MO theory.
A rule in MO Theory is that you need to have as many moleular orbitals as you have atomic orbitals. So, in the case of H2, where both hydrogens will donate their 1s orbital, for a total of two 1s orbitals. Correspondingly, two sigma orbitals need to be made as well the sigm bonding and the sigma antibonding.
Hope that helps.
Mitch