Yes, there was a British cab driver in 2011 named Alan who underwent the process of mummification. It was televised on Channel 4 in the UK.
You can read about it here:
I am sure it will be available on You Tube. It was a fascinating documentary.
Edited to include:
A quick scout on You Tube suggests it is not online but I add Dr Brier's lecture "Mummification: Resurrection of a lost art" which I suspect you will find of interest, Will.
Also, a minor point but ... you are mistaken in believing that there is a description of the mummification process in the "hieroglyphic record". There is not.
Post Edited (28-May-14 10:31)