Hi Tara!
I have no details of children from the Bernard/Elizabeth marriage. I do have a daughter Rose Ann Gildea born 6 July 1903 where Annie is shown as the mother but the birth is recorded as illegitimate. Not sure if Bernard, or someone else, is the father. Bernard and Annie were married at Dumbarton, Scotland in 1899; and the birth of Rose Ann seems to fit with the date of the marriage and the fact that Annie was shown as Rosan on her birth certificate.
The WW1 draft was completed in September 1918 with Elizabeth being shown as the wife. It looks as though it may have been a common-law marriage.
At the moment, I can't find the death records of either Bernard or Elizabeth. perhaps more will be revealed once the 1940 Census is fully transcribed.
Regards,
Jim