Kinds of mates

But from a posting I made 5 years later:

from "An easy introduction to the game of chess" 1806 (editor unknown)
OF THE VARIOUS CHECK-MATES.
In an old book on Chess, published in 1652, the following Appellations are given to the variety of Mates:
(1)  The Queen's Mate, a Gracious Mate
(2)  The Bishop's Mate, a Gentle Mate
(3)  The Knight's Mate, a Gallant Mate
(4)  The Rook's Mate, a Forcible Mate
(5)  The Pawn's Mate, a Disgraceful Mate
(6)  The Mate by Discovery, an Industrious Mate
(7)  The Smothered Mate, a Shameful Mate
(8)  The Stale Mate, a Dishonourable Mate
(9)  The Mate in the Middle, an Unfortunate Mate
(10) The Mate at two Moves, a Fool's Mate.

Willard Fiske published a more complete version in Vol. 3 of the "Chess Monthly."
It is probable that neither those of our readers who are given to chess, nor those who are given to matrimony, nor those who are in the habit of going down to the sea in ships, could describe, with such minuteness as has been done by an old English writer :
The Diversitie of Mates.
The Queens Mate, a gracious Mate.
The Bishops Mate, a gentle Mate.
The Knights Mate, a gallant Mate.
The Rookes Mate, a forcible Mate.
The Pawnes Mate, a disgraceful Mate.
The Mate by discovery, the most industrious Mate of all.
The Mate in a corner of the Field, Alexander's Mate.
The Mate in the middest of the Field, an unfortunate Mate.
The Mate on the side of the Field, a Coward's Mate.
The blinde Mate, a shamefull Mate.
The State, a dishonourable Mate.
The Mate at two Draughtes, a Fooles Mate.

HJR Murray elaborates even further:
[Arthur Saul's "Famous game of Chesse-play"]  Originally published in 1614, and based on no previous book. The work is more curious than useful, but its classification of the different mates deserves to be remembered.
'The Queenes mate, a gracious Mate.
The Bishops Mate, a gentle Mate.
 The Knights Mate, a gallant Mate.
The Rookes Mate, a forcible Mate.
The Pawnes Mate, a disgracefull Mate.
The Mate by discovery, the most industrious Mate of all.
The Mate in a corner of the Field, Alexanders Mate.
The Mate in the middest of the Field, an unfortunate Mate.
The Mate on the side of the Field, a Cowards Mate.
The Blind Mate (a mate which the winner does not see is mate), a shamefull Mate.
The Stale, a dishonourable Mate.
The Mate at two Draughts a Fooles Mate
(Barbier, 1640, adds the Scholars Mate, 1 Pe4, Pe5; 2 Qh5, Ktc6: 3 Bc4, Pd6; 4 QxP m.; "The French calls it Le Mat du Bergier, the Shepherds Mate, as implying, if Peasants would be Chesse-players, such a Mate might a man soone give them.")

This enumeration is found at the end of Chapter VIII of Saul's book. 
Only this version ["The famous game of chesse-play truely discovered, and all doubts resolved; so that by reading this small booke thou shalt profit more then by the playing a thousand mates. An exercise full of delight; fit for princes, or any person of what qualitie soever. Newly published by A.S. Gent."]  read:
The diversity of Mates, and which are worthy of praise, or disspraise.
The Mate with a Queene, a loving mate.
A Mate with the Bishop, a gentle mate.
The Mate given with a Duke, a gracious mate.
A Mate with the Knight, an honourable mate.
The Mate given with a Pawne, a disgracefull mate.
A Mate by discovery, the worthiest of all.
The Mate given in a corner of the field, was Alexanders mate.
A Mate in the Midea of the field, an unfortunate  Mate.
The Mate given on the side of the field, a foolish Mate.
A blinde Mate, a shamefull mate.
The Stale, a dishonourable mate.

Does anyone know what Alexander's Mate, mate in the corner, refers to?