There is a man looking at someone's picture and says:
Brothers and Sisters I have none,
but this man's father is my father's son.
Whose picture is the man looking at?
Using the word "my" is understood by most people as the guy looking at the picture. Considering its the guy looking at the picture saying it. Therefore he's talking about HIS FATHER! In turn he must be looking at a picture of himself! Your solution makes no sense.