Morality is just Cicero's somewhat questionable translation of the Greek concept of ethics into Latin (the latin term having a meaning tending more toward customs than the greek term, which leans more toward virtues). But in moral philosophy, both are used interchangeably, both terms are used regarding the study of what is the best way to act.

There's of course tons of ways to approach the problem, and some people perhaps associate one with ethics and another with morality, but that typically stems from answering different ethical (or moral) questions. Such as, what is best for me, or what is best for society, or what is good, or what is fair.