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.
Every beginning when the Moon shall be joined to a Retrograde planet will soon be destroyed, and if she shall be otherwise impedited, the mischief will happen the sooner. - William Lilly (1602.-1681.)