I am afraid I do not have any illustration to be able to see what you are describing, but in general most vehicles are built in a standard fashion:
If you examine the area where the window glass joins the mechanism that moves it up and down, there is always (in every car I have disassembled anyway) some nut, bolt, or other fastener that attaches the window glass or whatever metal strip it is glued into to the rest of the components. Often, if there are nuts fastening the glass in this area, they will line up with holes through the inner sheet metal for access at some point in the movement(usually with the glass up).
The window glass is always removed separately from the regulator (mechanism); on most vehicles, it is not necessary to remove the glass from the door to service the regulator; just unfasten it, slide it to the fully upward position in its channel, and run a strip of duct tape or two over from one side of the glass, over the top of the door frame, and down to the other side to hold it in place.
Now, you should be able to see whatever fasteners are holding the regulator to the door itself; if you remove these fasteners, the regulator can usually (with some contortions and choice magic words invilved) be removed through one of the large openings in the inner door panel.
If this is a cable type mechanism , as it sounds from your description, these are generally serviced as complete regulator assemblies. The new one will likely come with installation and adjustment instructions in the package.
I am sorry I cannot be more vehicle specific here, but if you feel this answer is helpful, clicking my accept button would be most appreciated! Thanks!