An Australian story-teller.
Australian Slang Dictionary-
Dob (somebody) in : inform on somebody. Hence dobber, a tell-tale.
American Dictionary-
Ster:
suff.
1. One that is associated with, participates in, makes, or does: (something specified) songster.
2. One that is: youngster.
She was a real Dobster in the way she told that story.