Have you found either of these ancestors in 1901 or 1911? I’m wondering if the detention order might possibly refer to a mental health problem?
After the 1834 Poor Law Amendment Act, people whose behaviour was judged to be a danger to themselves or others could be admitted temporarily to a workhouse under a detention order. But they could only be detained for up to 14 days, whilst being assessed, and when the order expired they had to be discharged or admitted to an asylum. After the 1890 Lunacy Act, a 'reception order' for the asylum had to be signed by a magistrate.
If by any chance this was the case here, you might find something more amongst the Camberwell Board of Guardians settlement and relief records, some of which are on Ancestry. Just a thought.
