Unfortunately there is no way to do what you're asking. The color data is not stored in the rom itself, so there's no way for the emulator to read it. Instead, the color data is actually stored directly on the GBC's BIOS, with each game having its own entry. Since the GBC BIOS cannot be dumped, we have no way of adding support for the colors.
Well actually, there is a way. We could create our own database of colorizations for each and every game we come across, but this would be both inaccurate and TONS of work, and because of that nobody has really done it. Perhaps someone might feel like re-making the built-in color palettes you can select with the A+B+dir buttons, but certainly not the specific color data for each GB game. Way too much effort.
However, note that Lameboy does have support for games that have a built-in Super Gameboy palette. There aren't too many games that have this palette, but because it's built into the rom, it can be read by the emulator and displayed on screen. Go to the Lameboy options before choosing a game and enable Super Game Boy mode. If the game has a SGB palette or border, Lameboy will display both. The Pokemon games for instance have these, if you want to give it a test. They're not identical to the colorizations that a GBC would give the game, but they work.
EDIT: Also, there's a fork of Goomba (not Goomba Color) that has support for all 32 standard Super Gameboy Palettes, in addition to the game's built-in one (if available). If you have a device capable of playing GBA games, give it a look. SRAM saves can be injected into the Goomba compilation's *.sav file (and extracted back out) if needed. See
http://boards.pocketheaven.com/viewtopic.php?t=6910 for details on this fork. Goomba Color by itself has support for any built-in SGB border and palette in addition to only the first 4 standard SGB borders.
BakerMan
AncientBoi
BigOnYa
