There certainly seems to be something strange re. the birth registration of Abram A Liddle. It seems to have been handwritten in at a later date on the main GRO index page in June quarter 1897 with a reference of S/33??
It doesn't come up on a check of the GRO site to confirm his mothers maiden name.
Plus, I note on your online tree you have a birthdate of 16th December 1897 for Abram but his addition to the GRO register is in the June quarter? This birthdate appears to be for a son Frederick born to Frederick Britton Liddle and Mary Atkinson (birth reg'd Mar.qtr.1898).
Right now, I'm doubting that Abram is in fact their son, certainly not Mary Atkinson's anyway as she was already pregnant with son Frederick when Abram was born??
With a handwritten addition to the GRO index page June 1897 for Abram A Liddle it looks like his birth was not registered at the relevant time and why the S/33 reference number is given.
I'm wondering whether the mother of Abram was Isabella's daughter Mary Ellen Andrews who married the same time that Abram was born i.e. June quarter 1897 Hartlepool to a Christopher Foster. Certainly, to be a grandson of Isabella, Abram would have to be a child of one of Isabella's sons by a lady surnamed Liddle or by daughter Mary Ellen with his father being a Liddle (although parents not married). What doesn't help is that his birth wasn't registered at the appropriate time and became a later addition to the registers.
Please post again when you receive the certificate and put me out of my misery as to who he belonged to.
Annette
Added: By the way, Fred's father didn't 'list himself' as Johnson Snarey Liddle, this is information that Fred would have given himself.