There is no way to make this happen to existing drawings without changing each one. However, you could make use of the Swap/Update Block command to take a lot of the pain away.
The first thing you'd need to do is add an attribute to your title block for this purpose. Then, you will have to go through the Title Block Setup process again, so that the new attribute gets mapped to the title block.
Once that's done, you would use Swap/Update Block to push the refreshed title block to all drawings, on a project-by-project basis, replacing the older title block.
Then, for each project, you would need to go to the descriptions by right clicking on the project in the Project Manager. Add the name of the file folder name that you want to get onto your title block in the proper line.
Finally, run Title Block Update across the project. That should do it. From there, you'd have repeat this final step for every project.
As for new drawings, all you would have to do is be sure that you have the proper line added to the project descriptions, and the title block should come in with everything already there.
Alternatively, you could just add an attribute that contains a field value that does what you want, but I don't know how to set up a field to get that info. There might also be a Diesel expression you could enter into the field that would do that. Either way, if you used a field in your new attribute, then you wouldn't have to redo you title block setup. But, you would still have to push the refreshed title block out to all the existing ones, update, etc.
Hope this helps,

Jim Seefeldt
Electrical Engineering Technician