The Grand Castle

Each input answer for this meta has two words.

The words "pan" and "handle" are a nudge towards Texas' panhandle. The second word in each feeder is the name of a county in Texas' panhandle. There are 26 such counties (in perhaps the most popular definition of the panhandle); this puzzle uses them as letters. If you look at a map, those counties are laid out in rows. Read them left-to-right for an order.

The word "flagstones" is a nudge towards "Six Flags over Texas", that is, the six nations whose flags have flown over Texas. The first word in each feeder has a first letter that's also the first letter of one of those flag-nations. This tells you how to order the letters, based on the order of flags from the Austin capitol facade.