Mouse Speed
The game's default mouse speed is set to medium, which can be a problem during certain stages, particularly the shooting gallery mini-game you have to pass in order to advance. However, you can increase the mouse speed on the "Settings" menu, allowing you to get off more shots in a shorter amount of time. Hit the "Esc" key to bring up the menu and then select "Settings." Move the mouse speed all the way to the top.
Carrots
Throughout the game, you need to feed your horse carrots to keep him energized. You can acquire carrots at three primary locations: Bannister's farm, Alvin's farm and the Jackson Market. You need to buy carrots at the market, but you can grow carrots at the farms with a little hard work. However, Bannister's farm yields five carrots each crop compared to only four carrots per crop at Alvin's farm, so make sure to grow all your carrots at Bannister's farm. You'll want to have 10 to 15 carrots in your inventory at all times.
Telegrams
You can send three telegrams from the train station: one to your Aunt Filomena, one to the President and one to Sam the pianist. The telegrams to Filomena and Sam cost $2 each, while the telegram to the President costs $4. Don't even bother sending a telegram to Sam, because he won't send you any money in return, but the President will respond, granting you $20. Filomena will send you $10.
Library
Once you progress to Starek's Ranch, explore his house to find the library. You'll need to click seven books in a specific order to open the bookshelf and reveal a secret passage. The solution to the puzzle is actually located in Jackson's Store in Starek City. When you're at the store, purchase a newspaper and read the article on art history. The article presents topics in the following order: Prehistory, Egypt, Greece, Rome, Middle Ages, Renaissance and Modern Era. That's the same order in which you have to click the corresponding books.
Saloon
At the saloon, you'll need to challenge opponents to a spicy sarsaparilla drinking duel. To win each duel, you'll have to ask your opponent a question he can't answer or make a statement to which he can't respond, Whiskers, one of Starek's henchmen, is your first foe, and he has no response to "I can see just how badly you're shaking." Your second opponent, Fatty, has no response for "They told me that you had a streak that was yellow."