Querying the name of a monitored smart folder

I would like to query the name of a monitored smart folder to add as a tag for all items within it. As the items inside a smart folder do not actually reside there I am unable to use the 'source folder' dynamic tag.
This is what I'd like to achieve if possible?
Monitored Smart Folder
-- Item 1 . Monitored Smart Folder tag
-- Item 2 . Monitored Smart Folder tag
-- Item 3 . Monitored Smart Folder tag
-- Item 4 . Monitored SmartFolder tag
This is what I'd like to achieve if possible?
Monitored Smart Folder
-- Item 1 . Monitored Smart Folder tag
-- Item 2 . Monitored Smart Folder tag
-- Item 3 . Monitored Smart Folder tag
-- Item 4 . Monitored SmartFolder tag