"I don't know about you but after a Syncopated Chasse into a Natural I find it very stilted to have a early CBM."
After the chasse you are stepping out with left side lead already, to take the first step of the natural outside partner in CBMP. Because of this, the CBM will be fairly subtle - you start the first step in a position very near that which would be achieved as the foot is placed when the inside version is done with well-timed CBM.
"Turn is turning the body from right to left and left to right"
yes
"A foreward or backward action is Swing."
Not necessarily. A swing is one type of action, in which the rotation of the body in the vertical plane sends the leg from a position behind the body to a position in advance. The other type of action, the one more applicable to heel leads, is for the body to simply translate across the floor, carrying the leg under it.
"A sideway action is Sway."
Incorrect. A sway on a basic figure in ballroom language is not an action, but rather is the position which results from swing.
"CBM is hardly mentioned except I believe it to be on the turn before the swing. But then can it be late or early."
No, if it's "the turn before the swing" then it has to be: before the swing!