"Bit of a mistake there and I took more than one look at the technique book."
Well, you need to take one more, because the rise and fall of the progressive chasse and the quarter turn to right are identical.
"I have never struck a Progressive Chasse where the lady steps outside the man in step one."
Nevermind, it was a silly comment and not important (the left foot almost always goes outside the partner's right)
"According to the book. CBM on one,nobody said that it was anything other than CBM."
In the quarter turn, if the previous figure ended in a pre-CBMP position, then step one will be taken outside partner in CBMP but will also use a CBM action.
"CBMP on the fifth, which has the man out side the lady on that 5th step, which we all know is the first step of a Natural movement. Or do we."
The fifth step given for the progressive chasse could be the first step of a natural movement such as a quarter turn to right, or it could also be a flat connecting step followed by a reverse movement such as a quick open reverse or chasse reverse.
"The sway which we do on the Quarter Turn. Which is to the man's right on 2 and 3. Carries on into the first 3 of a Spin Turn lowering on the 3rd step."
No, sway never carries beyond the first half of the first step of the next figure. This is why every figure in the book is given through the point of neutralization - sometimes this overlaps the first half of the first step of the next figure, other times it is the first half of a unique step which is in turn followed by the first step of the next figure. Of course it's possible for two figures in succession to have the same sway, but this does not mean that the sway from the first has been carried into the second.
"Question in the Waltz. To recover from an Oversway into a Promenade. What is the correct rise and fall. Remember the basic technique which does not alter."
The oversway does not use characteristic waltz action, but a modification thereof.