Tracy, I think, just about 'hit the nail on the "head" (sorry! just noticed that myself!) here.
My dad once spent a few days in a lifeboat during WWII, and I believe the normal practice was to "just let it all hang out" over the side. Of course, there were no women involved in his situation to inhibit anyone.
But his situation was different in another very important way too. When a large passenger vessel such as Titanic is in difficulties or goes down,very rarely is help that far away. Sadly it may be too far distant to save lives, but normally, I would suggest, 'relief' is usually only a matter of a few hours away at most. Consequently many of the problems mentioned would possibly never arise. (Although, personally, having found out that we were sinking, I would have had to change my pants at least twice, long before I managed to fight my way onto a lifeboat...!)
As for the cup - I have one very serious question. I believe that, long before Titanic, back in the eighteenth century, ladies used to carry a small porcelain vessel to the theatre, opera, etc. for just such a purpose. Very useful for Wagner's "Ring"! Anybody remember what the French name was for the damned thing? It's been bugging me for days!
Haven't a clue what they did with it after use though!
John M