亡くなる means for someone to die(more round about and subtle way to express death than the word 「死ぬ])
消える(きえる)is the word your looking for.
As for grammatically we would not really use の to express that meaning while it is acceptable in Justin's first example sentence as a casual speech it cannot be used in the same way with verbs or in proper Japanese. There needs to be a little bit more context behind what the "one" that disappeared is in order for me to fully answer your question.