Well, I applied what I learned from my destruction session on a homemade hammock. I used a simplified version of the way the HH head end was folded/gathered. I think the foot end was done differently because it has the entrance slit.
It worked out great. Definitely an improvement. It felt flatter and it was great in the fetal position. (my preferred sleeping position in a hammock). Hennessy doesn't do anything to tighten up the outside edges because of the tie outs, so the gathering is done straight across. I tried this first then did it again pulling the outside corners out a little before whipping. It was an improvement since I was not using tie outs at the head and feet.
The simplified version is this:
Lay out the hammock with the inside facing up.
Fold the corners to the center and overlap them a little.
Turn the hammock over, making sure you keep the corners overlapped and in line with the center of the hammock. Flatten it out.
Take the outside edges and fold them in so they meet at the middle but don't overlap. Flatten it out.
Repeat, take the outside edges and fold them to meet at the center.
One last time, fold the outside edges in.
Now, fold it up in half like a taco.
The original outside corners should still be overlapped on the bottom of the taco. This is where Hennessy melts the end together and melts the holes through the sides. I just whipped it.
I posted a series of pics of the process. They are OK. The fabric I used makes it a little hard to see the folding.