Ship naming in the original Design Discussions Forum was a bit more involved than just slapping a name on a ship. I hope it's still in that general direction 
•A ship can be given a name by a commander
•A ship name can only be registered at a reputable space dock
•There is a fee to register the name
•Names are not unique
•Ship names can be changed using the same procedure
•Swear words detected in the name will be considered a crime in some of the more puritan systems (resulting in a crime)
•As long as the ship is not destroyed, a named ship earns a tithe of reputation the commander earns
•This additional reputation is applied to the commander whilst he/she is piloting the ship (up to a cap – though the ship can keep earning more reputation)
•News feed bulletins will reference named ships with enough reputation, highlighting accomplishments achieved by them
•Some missions and events may require minimum/maximum thresholds to trigger
•When a named ship is destroyed, bonus reputation associated with it is lost
•A ship name can only be registered at a reputable space dock
•There is a fee to register the name
•Names are not unique
•Ship names can be changed using the same procedure
•Swear words detected in the name will be considered a crime in some of the more puritan systems (resulting in a crime)
•As long as the ship is not destroyed, a named ship earns a tithe of reputation the commander earns
•This additional reputation is applied to the commander whilst he/she is piloting the ship (up to a cap – though the ship can keep earning more reputation)
•News feed bulletins will reference named ships with enough reputation, highlighting accomplishments achieved by them
•Some missions and events may require minimum/maximum thresholds to trigger
•When a named ship is destroyed, bonus reputation associated with it is lost