Evelyn's history is layered, moving from a Norman surname into a given name, and it's often associated with the idea of a long-desired or wished-for child. That association gives the name a gentle, hopeful undertone -- less about destiny and more about being welcomed. Its meaning has shifted across centuries of use.
There will neither good or evil be performed, but when the good or bad planets in a nativity or revolution shall aspect the Moon by a quadrate. - William Lilly (1602.-1681.)