BIRTH AT SEA 1834

Hello ! I am new to this Forum and I am posting for the first time. I am trying to find information on my Great Great Grandfather, JOHN NELSON. I know everything about him and the family he had here in Liverpool after he married an Irish girl, Maria McKenna, in July 1861. However, prior to that, I have only this very brief detail, obtained from the 1861 England Census: John Nelson (name anglicised) b1834 AT SEA Father: Henry (Henrik) Nelson - a Mariner Nationality: DANISH Is there any chance of finding Crew/Passenger lists for 1834, or Births at Sea for this year???