I had a similar occurance.... the leak was from a crack in the deck, not the chainplate... So... it's more likely to be seepage from a nearby overhead deck fitting, rather than the side mounted chainplates. Check your forward hatch, deck mounted blocks, mast step, wiring ferrules, etc....
Lightly tap the area with a small hammer or screwdriver handle. Listen for a dead, dull sound, rather than a crisp, bright sound. Check the deck within a 2-3 foot radius of the light... but mainly "uphill".... because normally, gravity will pull the water down towards the exit at the fixture.
If you think you've found the leak source, go ahead and seal it with some epoxy. (my source was a crack resulting from a tool drop a few years back that I misjudged as cosmetic). Wait a month or so and see if the seepage slows...... then go back and tap tap the area.
Once you think the leak source is sealed, you'll want to repair the damaged core. I ended up drilling a series of 1/4 inch holes in a 1" grid pattern to outline the infected area. (the drill will pull out dry or wet wood)
Anyhow, I ended up with an area about 4" x 9" that extended uphill from the cabin light's location. I let it dry out for a few more weeks, erecting a small tarpolin tent to allow air to circulate, but keep rain and dew off. Then I injected penetrating epoxy into each hole....let that dry... the wood is now like granite.... then I topped off the small holes with regular epoxy. Finally, I brewed up some gel coat, epoxy paint would work also, and recovered the area.
Guess what?........ no more black stuff!
Some might suggest making the repair from the inside.... but that would be if you removed the entire damaged core section.... I can't see doing that with the penetrating epoxy fix... but.... maybe someone has a method they can share.