Morality concerns every individual as to understanding the difference between good and evil or right and wrong. It is the ability to apply in our lives that which is good, and to conduct our lives in a manner that will be pleasing not only to ourselves but to those whom we come into contact with.
Morality in religion would be an adherence to standards set by the dictates of your religion. This usually means abstinance from sex until marriage, and keeping the marriage vows while married (no sex with anyone but your spouse). It can also mean being an honest and upright citizen and following all rules of your church.