Hi Misha
This looks like it could be them in 1901 - living in Ilford, Essex - 15 Wellesley Road
  
Walter Davies b1876  Mothory, Carmarthenshire, Wales Head, Commercial Traveller
Alice S Davies b1875  Harrietsham, Kent Wife 
Eleanor A Dale b1884  Barking, Essex Servant 
RG13/1649 Folio 64  Page19 
RD   Romford  
ED  10  
There is a Donald Brook Davies listed born Dec qtr 1903 in Billericay, Essex which is not too far from Ilford.  The only way you are going to be more certain if these are a) yours b) the ones who produced the child Donald who later produced tthe child Lucy is to get some certificates I think.  The birth cert for Donald should list fathers occupation and mothers maiden name etc.
Hope this helps