Even a dead person can see that Persephone is your wife, Hades.
Didn't Hekate have hecatombs of puppies? She can never have a good relationship with Hades.
Dogs or puppies were sometimes sacrificed to her, yes. I actually had an idea for a short comic once where Hades considers to forget that Hekate is a necromancer and hire her, but immediately changes his mind when he learns about the dog sacrifices. XD Anyway, that the dog was sacred to Hekate can of course also be interpreted as Hekate liking dogs very much, something she then would have in common with Hades. I haven't decided yet what I should make of it.
Make it her loving dogs. Let them bond!!
Hades she can be both.
And Erigone looks like a siren like that. ^_^