Yeah, that's pretty much what I do when trying to show someone that most snakes are absolutely NOTHING to fear at all. It's hard for me to understand, since I've had snakes since the age of seven, but an extremely large prcentage of the population is like this.
You really do have to start from "square one" with someone who is that afraid, and choose the slowest, calmest snake you have for the showing. It almost has to be handled like talking someone out of committing suicide from a bridge, or a tall building!..LOL
I usually start out by telling them something like,...."If this snake was anything even slightly dangerous, do you think I would be holding it?,.....and then say,..."this snake doesn't even notice me!, it just thinks I'm a branch to crawl on!". Usually, after a while of seeing the placid snake just meandering around and casually climbing on my arm, they can see for themselves that there really must NOT be any real danger at all. While all this is going on, I'm usually taking very small, slow baby steps towards them so they can get a better view of the "harmless" animal, and the person usually is totally unaware of it happening. Usually, after all this reinforcement, most of the time they will soon give in and touch the snake. Eventually that leads to a short petting of the snake, and generally, it's not too much longer that they are even willing to hold the "non business end" of the snake!..LOL.....And of course, usually following soon after that, they can even be talked into holding the entire snake, as long as you are right there with them saying...."see!,...I told you snakes were no big deal!".
Most of the time, the once frightful person becomes instantly extremely proud of themselves to see they are actually holding a snake. Once this "ice" is broken, it's pretty smooth sailing from then on, and they often want to hold it again!.
In any case, remember,.....it's all in the way you introduce the situation. With a little common sense, and subtlety, you should be able to turn most anyone around from the crazy unfounded fear of snakes.......good luck!
~Doug
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"Better to be silent and thought a fool, than to open mouth and remove any doubt!"