About half-elf names
Two naming traditions
The Player's Handbook notes that half-elves use either human or elven naming conventions, depending on who raised them. A half-elf raised among humans might have an elven first name as the only trace of the other parent.
Using the mix as story
An elven given name with a human family name suggests a human household; the reverse suggests an elven community. Pick the one that matches the backstory you want to tell.
Curious how the parts fit together? See how fantasy names are built, with sliders you can play with.