My confusion was partly supported by there being *two* zip files called tinymce, and the instructions did not clarify which one unzips to where.
I was using Drupal 5.
- You get the *big* zip file directly from http://tinymce.moxiecode.com/ This is the generic package which can be used in a variety of CMSes, not just Drupal; I had tinymce_2_1_2.zip;
- You also need to get a *small* zip file which is just for Drupal. I had tinymce-5.x-1.9.tar.gz
Remember that both these files have been correctly packed with "tinymce" as their root folder. So when you unpack them, at least with WinZip, whatever folder you nominate as a destination, the "tinymce" folder will get made there, then the contents underneath.
- Unzip *big* zip file, extract it to your-root/modules/tinymce This means it will create your-root/modules/tinymce/tinymce (yes that's tinymce twice). And hence you get folders of:
- \modules\tinymce\tinymce\docs
- \modules\tinymce\tinymce\examples
- \modules\tinymce\tinymce\jscripts
- Unzip *small* zip file, extract it to your-root/modules, without specifying the "tinymce". And hence you get folders of:
- \modules\tinymce\plugins
- \modules\tinymce\po, as well as
- \modules\tinymce\tinymce etc from the previous *big* unzip.

After that, the existing instructions about roles are all quite satisfactory. To repeat the substance of them:
- If you are on a completely new installation, then go to Administer > User management > Roles and create roles such as admin, owner, editor and so on. You'll probably need these roles anyway, not just for using TinyMCE
- Go to Administer > Site Buidling > Modules, scroll down to see the panel "Other" containing a row for "TinyMCE". Tick the box to enable it and click "Save configuration" button.
- Click Administer again, and look across right to click "By Module". Scroll down to the TinyMCE section. Click TinyMce and create a User Profile, via Basic Setup with a name, click the role(s) and probably choose "Default state: enabled". This should suffice to get TinyMCE working. Later you can revisit this page, to fine-tune the other options, principally which buttons you want displayed. The defaults are pretty sensible.
- Go to Administer > User management > Access control ["Roles" in Drupal 6]. You will see columns, (one for each Role), and rows (one for each aspect of control). Scroll down to see a panel for the tinymce module, and two permissions: access tinymce and administer tinymce. Tick whatever check boxes suit your purpose. In my case as admin, I want my client ("owner") to be able to use ("access") TinyMCE, but not to fiddle with its setup. I keep that privilege safely with me, where it belongs.
- Don't forget to click the "Save permissions" button at the bottom.
