You seem to be looking at a completely different Arthur than the one shown in the 1901 census aged 6yrs and who was born in 1895
However - he could not have married in 1902 anyway as he was only 7yrs old at that time
this lad died a year old
How did you come up with the info that he died aged 1yr which would mean he died in 1896/1897
There is no death for an Arthur Wilson Betteridge in 1896 or 1897
Have you viewed the 1911 entry yet?