O.K. not to be greedy… but there is a movie I saw as a kid, and it was a movie not a T.V. movie, and I think BOGART was in it. There were children on a ship (and this is like British navy, 19th century or a pirate from that era I think) and one falls from the rigging and dies, again with blood out of the nose. I guess that nosebleed death thing really got to me as a kid!
I have sort of searched through BOGART filmography and haven’t really turned up anything, so I may be wrong about him, but there was definitely a ‘40s early ‘50s feel to the film and there were (orphan?) children on a ship. I think someone gets hanged in it as well.
UPDATE: NAME THAT TRAUMA SOLVED! Reader Senski truly is the captain of the S.S. Trauma for steering us towards A HIGH WIND IN JAMAICA.