This is a method to get your fame level up easily as well as earning yourself some easy honor too.

1) Go to Thieves Landing.
2) Purchase and wear the Elegant Suit.
3) Enter the cheap poker game in the saloon for $25.
4) Pull the arrow to the side and get caught cheating.
5) You will be entered into a duel.
6) Wait for the word "draw" to appear.
7) As soon as it does arm at your opponents right arm and shoot him.
8) He will be disarmed and you will win the duel.
9) Repeat the above steps till you have your desired fame.

Here is a video tutorial from step 3 onwards: