Thanks for all the replies, lets me know I'm not alone in having this blunder. Besides having the tap break, I am lucky in many things. First, I'm thankful for all you guys help. Second, the tap was a carbon steel tap so it can be annealed. Finally, it was a 8-32 so I can upgrade to the 10-32 which honestly I should have done in the first place.
Last night in a moment of haste I attempted to get the tap out with a punch before annealing it. The result, a broken punch point. My my failed effort distorted the hole slightly, but this morning I verified that a # 21 drill for the 10-32 would expand the hole past the distortion, so I can continue with my repair attempt. For my second attempt, I think I will head you gentlemans advice with some annealing + a carbide drill and a little more punch action is in order. I hope I don't distort the hole anymore, but hey, in this day and age of interchangeable parts at worst I'll just have to purchase a new lock plate from Mr. Chambers. That fact got the mouse running on the wheel in my mind last night, and opens up a new topic. My minor set back frustrates me. What would the original gunsmiths have done? The thought of laboring for hours at the forge and filling vice to complete the lock only to have a tap break of in the lock bolster would have been enough to drive a man mad. It's not like they could just mail order another lock plate that will closely match the inlet. It would be back to the forge. Time lost making another lock truly was money lost back then, and if it were the apprentice that broke the tap off..................