If Eugene CHAMBERLAINE was born in Scotland between 1855 and 1903 you should be able to find the registration of his birth on-line at www.scotlandspeople.gov.uk.

The free search on the surname CHAMBERLAINE at this site shows that there is only one birth registered in the period 1855 to 1903.

There is a marriage (1855 - 1928) and two deaths (1855 - 1953) too.

Good luck