Hi
I have had a quick look on ancestry, both henry and Owen are in durham jail in 1901 I cant see a record of their crimes
1891 Henry Burns aged 8 born abt 1883 is living at Heworth Monkton with father Owen Burns ( sailor or tailor ) born abt 1846, and mother Bridget born abt 1851 both born Ireland.
the family also appear on 1881 record.