Also, can you give me an example or explanation of motion as an essence? Would this mean that motion is a substance?
Motion is not a substance. (Indeed, what is a substance? Just an analogical term, reflecting Aristotle's Material cause. But that's a wider issue.)
Examples of motion as essence are plentiful. The essence of a runner is that he or it runs. The essence of a clock is that it measures or reflects the passage of time. And so forth.
Also, the purposes of man-made objects are often motions, note well. Like the said clock. For example, a car is a vehicle made to move people. This is Aristotle's fourth cause - the Final cause.
There is also the quasi-purposive in Nature - for instance the functions of bodily organs in the sustenance of the organism's life.
Dave, I suggest we stop this conversation and you read some of my works on causality. You'll find all answers there, if you are really looking for them. Best regards, Avi.
Something about you (optional) logician-philosopher