OK guys. Need a little help here. This is my first time trying to bring back an old estate pipe and I'm running into an issue.
This is a Willard, and isn't a bad looking little pipe. I think for $10 at a flea market I did okay. That is assuming I can fix this issue.

This is what the pipe looks like (not that that is an important fact).


And the stem (where the problem is):


The problem is that the draw is terrible, even with an empty pipe. You can remove the stem and just try to draw through the stem and it is the resistance of a thick milkshake. I've ran several vodka soaked pipe cleaners through it and nothing seems to work. Do I need to get a needle and dig around in the metal end there? (I know that sounds stupid but I don't know what the metal thing is called. lol) I haven't done anything yet because I don't want to eff it up worse than it already is.

Help a rookie out guys.