Hi Ben
I have the following information for the immediate relatives of R F Scott:-
Robert Falcon Scott b 6 June 1868 birth place Outlands, Devonport, Devonshire England
d 29 March 1912
Third Child and elder Son of John and Hannah Scott
A younger Brother Archibald and 4 sisters, Ettie, Rose, Grace and Katherine.
m Kathleen Bruce 2 Sep 1908 to 29 Mar 1912
c one child Peter (later Sir Peter Scott)
An earlier post on rootschat also mentions a Mary Elizabeth Hammond who may be related by marriage. (page 1 third post on the page)
There are two places I recommend you continue your search namely:
www.nationalarchives.gov.uk and the Scott Polar Research Institute Archives.
happy searching!
Rachel