Green’s Dictionary of Slang

arms of murphy n.

In phrases

in the arms of murphy [a pun on the classically based arms of Morpheus, the Greek god of sleep or dreams]

asleep.

Fudger Fudged 40: A young Irish lady (not Miss Owenson) being surprised sleeping on a bank of shamrocks, sentimentally exclaimed — Ah ! you find me in the arms of Murphy.
Night Watch 2 136: No featherbed was ever welcomer to me. I was fast locked in the arms of Murphy, as the scholars say.
Gurwood (ed.) General Orders of Field Marshal the Duke of Wellington xxxiii: It is singular to refer to these orders to see how a division of 6000 men, [...] rolled up in their blankets ‘in the arms of Murphy,’ were all dressed, with blankets rolled, packed, equipped, squadded, paraded in companies [etc.].
[UK]R.S. Surtees Young Tom Hall (1926) 321: Jug and Mrs Blunt were, as Mr Doiley sad, ‘in the arms of Murphy’.
[Aus]Bell’s Life in Sydney 2 Sept. 2/6: [She] found herself unable to find a lodging, and feeling anxious to get into the arms of ‘Murphy’, claimed the protection of the Charlies.
[UK]Hotten Dict. of Modern Sl. etc. (2nd edn).
[UK]Sl. Dict.
[Ire]Joyce Ulysses 614: Anyhow, they passed the sentrybox with stones, brazier, etc. where the municipal supernumerary, ex-Gumley, was still to all intents and purposes wrapped in the arms of Murphy, as the adage has it, dreaming of fresh fields and pastures new.