Morality without religion is morality, as the definition of morality is not based on religion.

If, for example, you would say "don't kill, because god say so", than the morality part of this is the "don't kill", the religion part is "because god says so". In this sense morality is the code of conduct, religion is a justification. Changing or removing the justification doesn't change the code of conduct.

I would say that anything considered right is moral, while wrong is immoral. The sense of right or wrong can derive from philosophy, religion, conscience. It is a different question, though, if our own sense of right and wrong corresponds to other people's sense of right and wrong.