Simple Implementation example of jquery_form_add() within a custom module?

The documentation link provided in the module description does a good job of detailing how the jquery form plugin would be used on a standalone web page. However, I am having trouble understanding how this would be used in Drupal 5 (and more specifically, how it would interact with the Drupal Forms API).

My question is whether jquery_form_add can be used in conjunction with a form created with the Drupal Forms API in Drupal 5 (and if so, where the jquery_form_add() command goes in relation to the form, form_validate, and form_submit functions).

I believe that a very simple code snippet of a jquery_form_add() implementation within a custom Drupal module would go a long way to augment the existing documentation defining how to use the jquery form plugin in a standalone web page. (Yes, I understand that building this sort of dependency into a custom module isn't the ideal, but it's being built as a module so that I can easily move it between development environments as opposed to for public release.)

Incidently, I have attempted to use the jquery_form_add() command in a standalone html form within a Drupal page, and have the AJAX submit portion working ... but after the submit routine completes, I am being re-directed to a blank page. So if the jquery_form_add() call can not be used in conjunction with the Forms_API, I'll try and post some of my half-working code for troubleshooting.

Thanks in advance,

- Jeremy