JQuery :: Ui-sortable And Connect - Pass A "list ID" With The Update?

I wrote an application using jquery/sortables and ran into a problem that I just don't understand well enough to tackle and hoping a jquery expert can see the solution where I don't.

I have a db setup like so

My page is setup to display multiple 'sortable' lists that allow the user to re-position elements (divs) with the mouse. Each div contains the 'content' (Bananas, Apples, etc) for users to see and they're even editable-in-place which all functions great.

THE PROBLEM: Each list has a class of 'biglist' in which I use the connectWith to allow these elements to be dragged from say myList3 to myList7.

Visually this looks great on the page but there's no DB functionality behind it to "SAVE" the new position. The only save that works is the elements position in its CURRENT list.

All 'content' in the fifth list for example is being generated from a SELECT statement [WHERE boxid = 5].

Each list has a different php file to generate its content that is virtuallyidentical

The order of each element is saved via a simple method in sortable's update function

Sorting is done here:

This is done roughly 10 times because there are ten lists. So here's the big question:

How can I pass the list's number (or create an ID for each list) that'll save WHICH list the items been moved to so that it's saved. (IE how can I change boxid instead of just Order)