As Titanic Stories points out, if that were true, then all of the boilers would have to been lit (which they weren’t).
There is no record of a mummy being transported aboard the Titanic.
Titanic’s hull number was 401.
Most survivors only recall hearing popular music of the time being played. The one person that claimed that the song was played got off the ship long before it sank.
It is also highly unlikely that the band played up until the moment the ship sank.
This myth mainly comes from a scene in the 1958 film A Night To Remember. James Cameron recreated that same scene in Titanic.