(a) Made in England.
(b) Esquire Record Company Pty Ltd, Box 432 GPO Sydney.

With none of my references listing the ‘Made in England' label, I cannot confirm if there was any connection between the English and Ausstralian companies. Considering the design, it appears not.

The English label provides no details of its source. Obviously, they released old jazz masters, as per the Sidney Bechet Quartet shown here.  There is also an Esquire Mercury label, ‘Manufactured and sold by Radio Corporation Pty Ltd for Esquire Records Pty Ltd'. I have no idea if there is a connection.  (See this label under Mercury).

So, on to the Australian label, and again there is a dearth of information. M iller [M] lists the label, with catalog numbers commencing a D series at 131 in October 1951; an E series with 1003 in October 1949, and a 5000 upward number for masters from the Mercury label. Miller [J] lists one record on Esquire, 20-016, containing Len Barnard and His Southern City Stompers, recorded Melbourne 1952.  Esquire 10-007, and 10-008 is of Graeme Bell and His Australian Jazz band, recorded in London in May 1948. 

There are 10inch and 12inch pressings.

Some jazz records in collection:

J0011 sc4   ESQUIRE. Made in England.  Voque Series.
10-077 (V 3027). OUT OF NOWHERE (Green).  Sidney Bechet Quartet. Sidney Bechet, soprano sax; Charlie Lewis, piano; Pierre Michelot, bass; Kenny Clarke, drums. Recorded 14 October 1949.
10-077  (V 3028). MY MAN  (Pollack - Yvain). Ibid.

J0237 c4 ESQUIRE. Made in England.  
10-151 (T-1).  TIGER RAG  (La Rocca).  Bunk Johnson's Jazz Band.  Bunk Johnson, trumpet. Jim Robinson, trombone. George Lewis, clarinet. lawrence Marrero, banjo. Alcide Pavageau, bass. Kid Collins, drums.
10-151 (T-3).  MAKE ME A PALLET ON THE FLOOR  (Brooks). Ibid.

J0266 c4 ESQUIRE   Made in England.  Recorded 26 February 1946.
10-101  (N.O.4A).  SALUTATION MARCH  (New Orleans Trad.)  The Original Zenith Brass Band. Kid Howard, Peter Bocage, trumpets. Jim Robinson, trombone. George Lewis, clarinet. Isidore Barbarin, mellophone. Harrison Barnes, baritone horn. Jow Howard, tuba. Baby Dodds, snares. lawrence Marrero, bass drum.
10-101 (N.O.5A).  IF I EVER CEASE TO LOVE (Trad.)  Ibid.

J0302 c4 ESQUIRE   Made in England.  Recorded 26 February 1946.
10-172  (N.O.2A).  SHAKE IT AND BREAK IT   (Clark, Louchiha).  The Original Zenith Brass Band. Kid Howard, Peter Bocage, trumpets. Jim Robinson, trombone. George Lewis, clarinet. Isidore Barbarin, mellophone. Harrison Barnes, baritone horn. Jow Howard, tuba. Baby Dodds, snares. Lawrence Marrero, bass drum.
10-172 (N.O.1).   FIDGETY FEET  (La Rocca, Shields).  Ibid.