Great information folks. Am sure many others as well, but I appreciate the time taken to share. Sadly, I have no "obvious" broken soder points. I have removed the Control board, and everything looks in tact. But if you zoom in on the "notch" (right centre) there appears to be some scarred section of the board... Either way, i suspect my only next choice is to by a replacement and install it. (just to note, I saw the F01 error, tried unplugging, nothing).
Now that I think about it, is there anyway of confirming the F01 indicates this control board, or could it also be an issue with the control board on the front/UI part of the Dryer?
Final update, wasn't the Control board, was the Thermal cut-off switch. Located underneath the base, up behind the lint-trap. A bit of a pain to get at, and get off, but a quick meter check confirmed. I then (temporarily for testing) put both wires together, and voila: the Dryer came to life and the drum began spinning... :)
I know there wasn't any back-and-forth but this site was started me thinking that this was something I could resolve myself.
PART Number: G4AP0500 TF091C ($3.99)
Dryer: Kenmore HE2 Electric Dryer