Welcome Diana to IrelandXO
I have some good news for you - I think!
Firstly - I found the Marriage Certificate between your William Shaw and his Bride Bridget McCarthy.
Date: 19th June 1910 in the Cathedral Church in Queenstown, now called Cobh.
William is down as a Soldier and his Father is James Shaw and is a Labourer - William gave his address as Haulboline
Bridget is down as a Servant and her Father is Denis McCarthy and is a Coachman - Bridget gave her address as Clifton Place
Michael O'Brien and Bridget Donovan were present for the marriage.
See copy of the Marriage Certificate attached.
As I had his Dad's full name - lots were for Northern Ireland and Dublin - then came across one in Wexford.
Date of Birth: 12th January 1882 to James Shaw and his wife Johanna Shaw formaly Henrick a son - William James -the address given is John Street, Wexford.
See copy of the Birth Certificate attached. Do any of the names mentioned mean anything to you or do you have any connection with Wexford.
Good luck with your research.