I am looking for the words to a song called "The Midship Mite".  The
song is about a midshipman during the Crimean War.  Although this
sounds like a serious song, in fact, it is more of a story and
drinking song.  Help would be appreciated.  The first verse starts:

"Twas 55 on a winter's night
Cheerily my lads, Yo Ho,
We got the Russian lines in sight
When up spoke the poor little midship mite....

Hi Mamruss,
You can view all 8 pages of "The Midshipmite" on the website of the
National Library of Australia. You'll find the music and the lyrics on
pages 1-7 (see below)
------------------------------------------
"The Midshipmite"
Creator:	Adams, Stephen, 1844-1913.
Contributor:	Weatherly, Fred E. (Frederic Edward), 1848-1929. 
Title:	The midshipmite [music] : song	/ the words by Fred. E.
Weatherly ;the music composed ... by Stephen Adams.
Date:	1880 - 1889
Published:	London : Boosey & Co. ; Melbourne : W.H. Glen, [188-?]
Subjects:	Sea songs. 
Material Type:	Music
Physical Description:	1 score (7 p.) ; 34 cm.
Notes:	For voice and piano.
"No.3 in D".
" ... & dedicated to Albert Calkin Lewis, Esqre".
"Sung by Mr. Maybrick".
http://www.nla.gov.au/apps/cdview?pi=nla.mus-an5970435-s4-v&mode=moreinfo
------------------------------------------
The Midshipmite - Cover page
http://nla.gov.au/nla.mus-an5970435
Page 1
http://www.nla.gov.au/apps/cdview?pi=nla.mus-an5970435-s2-v
Page 2
http://www.nla.gov.au/apps/cdview?pi=nla.mus-an5970435-s3-v
Page 3
http://www.nla.gov.au/apps/cdview?pi=nla.mus-an5970435-s4-v
Page 4
http://www.nla.gov.au/apps/cdview?pi=nla.mus-an5970435-s5-v
Page 5
http://www.nla.gov.au/apps/cdview?pi=nla.mus-an5970435-s6-v
Page 6
http://www.nla.gov.au/apps/cdview?pi=nla.mus-an5970435-s7-v
Page 7
http://www.nla.gov.au/apps/cdview?pi=nla.mus-an5970435-s8-v
------------------------------------------
    
...HAPPY DRINKING! :)
      
------------------------------------------
Search terms:
[ "fifty five on a winter's night" ]
://www.google.com/search?hl=en&lr=&ie=ISO-8859-1&q=%22fifty+five+on+a+winter%27s+night%22
[ "The Midshipmite" ]
://www.google.com/search?hl=en&ie=ISO-8859-1&q=%22The+Midshipmite%22

This answer was perfect.  My Dad used to sing this to us when we were
very little.  I think it was a song he learned in Glee Club.