Hi Kenny-
I'll have to take a closer look at my Lark; and those parts that you need. I don't recall exactly how that setup works without looking at it, operating it. Someone out in VacuumLand may have an extra cleaner, or an extra base/housing, where those parts could be salvaged for you.
I'll try to look in the morning.
That Lark looks to be in wonderful condition otherwise! As far as the cord goes, I've had success using basic Armor-All. Do a few wipe downs of the cord, and you should be good to go. Although you may have to do it regularly for a while to get the cord softened. Those burgundy cords never held up very well, I've not seen too many that have survived throughout the years.
Fred
(Tulsa) 
Comes to the Rescue!
