The six string quartets that Haydn composed and published in 1799 were his last complete set of string quartets. They are referred to as the Erdödy quartets because of their dedication to the Hungarian count of that name. The most famous of the set is probably number three, because of its citation of a theme that was later used in the national anthem of Austria-Hungary, a theme that is nowadays better known as the German national anthem.
That quartet is not on this record, but these are only the first two. Both quartets have nicknames, something that happens a lot with Haydn’s works. The first is called Jack-in-the-box (although rarely), the second is the popular Quintenquartett, so called because of its frequent use of falling fifths, mainly in the first movement.