Synchronous query to Web SQL Database

I'm working on a bit of JavaScript that interacts with a client-side SQLite database, via the newish window.openDatabase(...), database.transaction(...) and related APIs. As most of you know when you execute a query in this way it is an asynchronous call, which is typically good. You can make the call and handle the results as appropriate with callbacks.

In my current situation I'm working on an algo for a client that does some hierarchy walking in the locally stored database. The part of the algo I'm having trouble with requires starting at some row, which has a reference to a "parent" (by id) that is another row further up in the table. I have to keep walking up this tree until I reach the root.

The problem is that I'm at a point where I'm not sure how to use an asynchronous style query with a callback to keep feeding the loop parent ids. Ideally I could get the query to block so that I can do it all in the loop. Here's the key parts of my current setup:

    for (i in search.searchResults.resultsArray)
    {
        hierarchyArr = new Array();
        pageHierarchyArr = new Array();
        id = search.searchResults.resultsArray[i].ID;

        while (id != null && id != "")
        {
            var hierarchySql = "SELECT ID, parentID, type, content FROM content WHERE ID = " + id;

            // This is a prettied up call to database.transaction(...)
            var rs = db.getRS(hierarchySql);

            // Ideally the code below doesn't execute until rs is populated

            hierarchyArr.push(rs[0]);

            if (rs[0].type == "page")
            {
                pageHierarchyArr.push(rs[0]);

                // Do some additional work
            }

            id = rs[0].parentID;
        }
    }

As you might imagine, it doesn't work well. hierarchyArr gets an "undefined" pushed into it, and then the script crashes when it tries to check the type of rs[0].