Right from the get-go I found it strange that at age 80 Doris came back to the UK in 1987 following death of a 'Tony' Brett. You stated earlier that you got birth year of 1928 for him from the only 1987 death entry but suspect you'd taken the 'death' date from this entry too. We've proved this person was not 'your' Tony.
My contribution now, for what it's worth, is that since Doris' siblings are listed when she died and includes only one brother, deceased (given as Tony) is that it was her only brother, Frank Walter Brett b.1913, died 17/11/1968 Croydon who she knew as 'Tony' (probably a family pet name with both father and son being named Frank). Thus Doris coming back to UK late 1968 (incidentally, your online tree states Frank Walter died 1967 Newham, Northumberland ?? which is incorrect - as stated above he died 1968 in Croydon).
I firmly believe she did not have an illegitimate son Tony who she left here when she went to New Zealand, only later to come back to his funeral when he died. Just doesn't make sense.
When her siblings were listed when she died, as jonw65 mentioned earlier, why mention a brother 'Tony' (deceased) of whom there is no trace and not mention her only brother Frank Walter Brett, who was indeed deceased?
Logic tells me that for whatever reason, she knew her brother Frank Walter as Tony.
Annette