Hi Carrie -
I suspect that you may have a hairline crack near the arrow, as 61 hoods are notorious for this problem. And while resting the capillary action in the crack pulls ink out of the feed to the surface of the hood. When you are writing the ink flows to the nib and onto the paper. Ink likes to take the path of least resistance. (or to the path to the most expensive staining

)
Others may have had better success, but if this is true your best bet will be to replace the hood. Unless you're VERY careful you're likely to do more damage to the hood while removing it. I've had a few of these myself, and never much success trying to seal a crack.
I'll defer to other experts, but repair yourself is not a good idea, and replacement is the best alternative if it is indeed cracked.
Good Luck,
Tom Scott