HI there,
thought I would send you the two births I was able to find for George Moore in New Brunswick that "may fit" your George -
[1]
"On the first of January 1839 I have baptized George aged then days born of the lawful marriage of John Moore and Margaret Kelly. Sponsors Ph Calling and Anne McMinasny" signed W Dollard
source: Ancestry.ca St Dunstan Parish, Fredericton, York Co, N.B.
[2]
"On the 7th day of January 1832 I the undersigned have baptized George William, aged 3 days, born of the lawful marriage of John Moore and Eleanor Gunn. The sponsors were Denis Tierney and Mary Gunn. Signed: John Carroll"
source: Ancestry.ca L'Immaculee Conception Parish, St John County, St John, N.B.