« Reply #5 on: Monday 29 September 14 00:59 BST (UK) »
You definitely need a shipping expert!
I thought I might find something in the old newspapers which had daily shipping arrival/departures but got thousands of hits using the barque's name. Unfortunately, this name is coincidentally the same as the daily City of London's financial news headline

Undaunted, I decided I might use the Captain's name (which was always given after the name of the ship). Captain Fine might well have been mentioned in the shipping news but I gave up after viewing "fine" weather; "fine" horse racing, "Fine Art", etc.
I read on one website that crew lists are given in several maritime books. Unfortunately not one book title was given. There's several hits for Lloyds on this online library,
https://archive.org/details/textsbut although I saw mention of the barque "City Of London" in one book that I investigated, I couldn't find a book which had crew lists in the years mentioned.
This website which purports to have the national archive crew list records says it gives voyage details. If you're looking for surname "Fine" then there's several candidates.
http://search.findmypast.co.uk/search-world-records/merchant-navy-seamenGood luck
Aberdeen: Findlay-Shirras,McCarthy: MidLothian: Mason,Telford,Darling,Cruikshanks,Bennett,Sime, Bell: Lanarks:Crum, Brown, MacKenzie,Cameron, Glen, Millar; Ross: Urray:Mackenzie: Moray: Findlay; Marshall/Marischell: Perthshire: Brown Ferguson: Wales: McCarthy, Thomas: England: Almond, Askin, Dodson, Well(es). Harrison, Maw, McCarthy, Munford, Pye, Shearing, Smith, Smythe, Speight, Strike, Wallis/Wallace, Ward, Wells;Germany: Flamme,Ehlers, Bielstein, Germer, Mohlm, Reupke