Morality has to do with the "God center" of the brain/mind. It doesn't neccessarily come from religion (though it can) but philosophy, life events etc. as well. Its the objective, rational part of the psyche that attempts a broader perspective away from basic needs.
There are experiments that have pointed to its general location, just as they can point to the general location of language, sight, smell etc.
IMO, stating morality comes from the Bible is religious bigotry or niavity. Morality comes from the "inner eye" or "God center" of your reality, and has been discussed since before Socrates (3 faces of man etc.) Christian religions have adopted these 3 personalities of man as "The Father" (The God center) the Spirit (emotional, zealot) and the Son (the acting, basic needs, laborer).