Second update, and the first of seven updates from when I was traveling. I kept my Pokemon notes in a small notepad for convenience, so if you're looking for super-detailed Pokemon stats, you won't find them in these updates.
Anyway, I leveled up The Doctor to 11 before battling Joel, my rival, for a second time on the road to Indigo Plateau. After beating him, I went back to Pallet and got 5 Poke Balls from Oak. Went through the Viridian Forest, leveling The Doctor up to 14 before I challenged Brock. I stopped for a bit before entering Mt. Moon, with The Doctor at level 18.
Made it through Mt. Moon. Well, almost. Last battle, The Doctor got poisoned. I knew that I was pretty much at the end of the cave, but I couldn't remember if there were other trainers I'd have to battle outside. So I turned around, went all the way back to the entrance, healed at the Pokemon Center, then went back through Mt. Moon, only to discover there were no other trainers to battle! x3x Moving on, in Cerulean, I got my second Pokemon!
Here's Martha, the Bulbasaur. I leveled her up to 20, evolved her, before going on to fight and beat Joel for the third time. I made it past the Nugget Bridge, and got--you guessed it, my third Pokemon.
I named my Charmander Donna, raised her to level 20, evolved her, and then decided it was time to challenge Misty.
I must've been tired or carsick because I decided to write down the levels and HP of my Pokemon before and after the battle, even though I didn't do that when I fought Brock, nor did I keep doing it for any other Gym battle after this. But, whatever.
Before:
After:
How exciting.
I moved on to Vermilion, apparently, even though I wrote nothing about Vermilion in my notepad, aside from battling Joel for the fourth time on the S.S. Anne and wiping all of his Pokemon out with Donna! But I digress. ;D I taught Cut to Martha, and leveled all three of my Pokemon to 30 in preparation for the next Gym battle, which I decided to save for the next day.

also lol that typo made me picture a river of Tang (like a Fanta sea?) *shot*
xD Oh my goodness a river of Tang and a Fanta sea would be beautiful
But yay for a fellow Firefly fan! :D