It seems that the digitized, searchable, online-viewable portion only goes up to 1869 so far. It is being digitized by Project Gutenberg.

According to Wikipedia, "Notes and Queries" is still being published, although the style has changed since the Victorian era.

You can volunteer as a proofreader at Distributed Proofreaders, the proofreading arm of Project Gutenberg, and choose from hundreds of projects (books) to work on. The work is divided up into one-page segments, so you needn't worry about over-committing yourself. You can stop whenever you get bored, or switch to a different project.

At the proofreading level, the work mainly consists of finding and correcting "scannos"—analogous to "typos," it means errors introduced by imperfect automatic scanning and digitizing. Then there's the formatting level, which consists of inserting formatting markup that is very similar to HTML.

Every page has to be read by 6 people—3 proofreaders and 3 formatters—before it is considered finished. Then all the pages have to be assembled into one document before it is made available to the public.

However, it seems that no volumes of "Notes and Queries" are currently active at the Distributed Proofreaders site.

I recently worked on the Child ballads myself.