Odin traded in his immortality to stay in the mortal world that means he dealt with the White God with Uriel as his handler. In return he got Soulfire, the gift of the White God and the necessary element for a genuine resurrection. Uriel would know this and make it part of the agreement not to have People coming back like Lazarus (or Jesus himself) as it would detract from the New Testament, and the spread of Christianity. The compromise was living memory, at the time there were no photographs, even a famous Einenjharen could pop back up in 50 years without being recognised.
If that is the case Murphy is listed as “missing” in a mass casualty event, with people medivacced all over the US. All you need to do is find a coma victim of the right height and sex, and swap them out with Murphy. There was a case of the wrong family claiming a young woman in similar circumstances a couple of years ago. Voila Murphy “wakes” up identifies herself and resumes her own identity. No Lazarus like resurrection, merely an everyday bottom of the running order good news story.