Is it the 1921 census, that gives the birth places as Astryna and Grodno?
GRO records for the 5 daughters born in the UK give their mother's maiden as Bardil, Bordy, Bordill and Boodie. The only vaguely similar surname that I could find in the JewishGen databases was BURDE/BURDA.
There was definitely an extended Kamenskiy/Kaminskii/Kamionsky family in Astryna, with a couple of individuals bearing the name Eliash/Elia. It is certainly a possibility that Elijah was related to this family.