The boy's name is never actually mentioned on screen. In the later draft of the AWE script that was leaked online, he's just listed as "Son," not by any particular name.
Also, the PotC canon writers seem more open to accepting fanon, given how Barbossa acquired his first name: (http://www.boxofficemojo.com/features/?id=2323&pagenum=all&p=.htm)
Box Office Mojo: Has the Internet influenced this series?
Terry Rossio: I definitely feel that Barbossa's first name kind of came about through the Internet. I don't know if it was Johnny [Depp] who dubbed Barbossa's first name Hector but somehow it wound up on the Internet and everyone started calling him Hector. We went ahead and put it in.
I still think canon is ambiguous.
Date: 2007-08-01 04:40 pm (UTC)Also, the PotC canon writers seem more open to accepting fanon, given how Barbossa acquired his first name: (http://www.boxofficemojo.com/features/?id=2323&pagenum=all&p=.htm)
Box Office Mojo: Has the Internet influenced this series?
Terry Rossio: I definitely feel that Barbossa's first name kind of came about through the Internet. I don't know if it was Johnny [Depp] who dubbed Barbossa's first name Hector but somehow it wound up on the Internet and everyone started calling him Hector. We went ahead and put it in.