Hello Christine,
The following children are found by doing a parent search on the online IGI.
JANET DAVIES - Birth: 06 NOV 1855 Bothwell, Lanarkshire
JOHN DAVIES - Birth: 06 OCT 1857 Bothwell, Lanarkshire
EDWARD DAVIES - Birth: 22 NOV 1866 Bathgate, West Lothian
PETER DAVIES - Birth: 23 AUG 1870 Bathgate, West Lothian
The parents and these four children are in Armadale (Bathgate parish) on the 1871 census. That will show the birthplaces of the parents. The 1855 birth certificate is a bonus. 1855 as the first year of civil registration gave certificates with far more detail than in any other year.
The parents' 1854 marriage entry in the OPRs should be available to download later this month. The childrens' birth certificates should all be available for you to download from
www.scotlandspeople.gov.uk on a pay-per-view basis.
By the 1881 census, they were in New Monkland, Lanarkshire with three of the children (except John). Flora's mother was with them on that census.
ADP