Service records may contain names of ships. You can enter the ship's name into this website
http://www.convoyweb.org.uk/extras/index.html?src.php~exmain
It will then give you the national archive's reference number
eg
"EMPRESS OF AUSTRALIA" (British) would be held in reference BT 389/12
You then get a link to the national archives where you can obtain for about £4 a scan of the ships movement records.
http://www.nationalarchives.gov.uk/catalogue/displaycataloguedetails.asp?CATLN=6&CATID=8370499&SearchInit=4&CATREF=BT+389%2F12&j=1