Hi Wiggy,
Up early too!
Would I ever make a suggestion re getting certificates ....

or primary records

from local registers

and insist that you persist inspite of professional archivists not knowing what is in their own catalogues of their own archives ...

Anyways, there's at least three children for Edward & Elizabeth Gaunt showing her former name as Connolly. As they may still be living, I will note only that those births were registered at West Derby, Liverpool, Lancs, indexed as follows
1916, Q2 Male, GRO 8b pg 631
1917, Q4, Male, GRO 8b pg 535
1920, Q3, Female GRO 8b pg 707
IF only we could find a will for Emily Gaunt nee Ransom .... (ECG's mum) .... if only

well that's one primary record that could provide the definitive answer.
Cheers, (good fine washing day here) JM