Can't remove parking brake cable from '69 pedal assembly

Somebody help me out here... I'm trying to replace the parking pedal
assembly on my '69 (the old one has pieces missing), and I've got it
unbolted from the kick panel area, and also have the two clips that hold the
cable in place off... but I can't figure out how to get the cable pulled out
enough to disengage it from the little house that the ball on the end of the
parking cable sits in! Is there a trick to this? I tried loosening up the
other end of the cable down under the car where it ties in with the rear
line cables, but it's all rusted and won't adjust out any. It's all
adjusted well so if I could just pop that cable out of the pedal assembly
and in the other one, I'd be good to go. Easier said than done! Anybody
know what I'm talking about?

Ron