The dog died but the owner keeps them alive in their thoughts.

Not only eill the owner remember the name but every sexual partner will have the name Luna in their brain for a while and also the mortician will probably remember Luna for quite some time.

This is really a long play

It’s based on a quote from Terry Pratchett’s Reaper Man.

No-one is finally dead until the ripples they cause in the world die away, until the clock wound up winds down, until the wine they made has finished its ferment, until the crop they planted is harvested. The span of someone’s life is only the core of their actual existence.