Have you tried the (www.ellisisland.org) site? There are a few hits..........one being Walter Smith in 1905 and again in 1906 and possibly more as there are 600+ hits under this name. Also there are two hits under the surname CONDON -Anastatia Cordon age 35 travelling with Patrick age 40 and William age 11 travelling in 1912 - then Anastasia Condon age 4 with Ann age 28 and Helen age 19 all in 1914.
Have you tried looking on (www.familysearch.org) the Mormon site?
I will check the 19th Century Church Register of Bermuda book by Hallett and see if I can find anything on Walter Graham Smith for you.