[Eomer of the Rohirrim]

That's not conclusive, though, because the clause about the other Lover remaining alive is unclear - remains alive until when? I would guess it means that s/he must remain alive until the moment the first Lover can return to the Living; but it might also mean that the lynched Lover's journey between worlds can take place on the condition that the other Lover is alive when the lynching takes place - regardless of what happens afterwards.