Strip some 16/14 AWG stranded wire.

Start about here, exact isn't necessary.

I use some needle nose pliers to help hold the wire.

Start your wraps, space between coils about the same thickness of the wire.

Put the last two or three coils close together at the end.

Trim your work, gently use the needle nose to close each end of your coil.

It should look something like this.

With a little practice it only takes minutes.

It is easy and works well for Coleman fuel or kerosene, also it can help a lantern that has a pulsing problem, for those make the last three coils close together. Notice the wire coil near fills the generator body, it need not be tight, just fairly well filled.
Ed