I think that many of us were taught our basic morals by our parents, and they by theirs, and so on. I believe the originator of morals is God, but He uses the authorities of our childhood to enumerate most of them to us.
I also believe that it is the responsibility of an adult to search for true morals and apply them to his or her life. Many people think they are doing this in high school and college, when those in charge of their classes push things like ecology and "safe sex." This is how we've ended up with so many people that feel their morals instead of knowing them...resulting in the kind of "moral person" who is pro-choice, pro-gay-marriage, anti-"poverty" (but not with their own money), pro-taxation, anti-war, and in favor of teaching kids about "safe" sex instead of abstinence.
Those who have removed or lost their blinders and found God know that the only workable, solid, unchanging morals are His.