I name mine by launcher type typically, and then add a further designation based on payload. One example was the C-108 B OKTO Rescue. The booster was from the C108 line (8th main booster in the save), third variant (-, A, B), and it was an OKTO 2 run rescue ship.
Of course, if I had multiple launchers that did a similar job, I came up with slightly more creative names (C-116 Typhoon comes to mind)