Charlie
No help but this is what I've found.
The only Palmer that was a Captain in the Manchester's was
F C Palmer in the 7th Bn and he didn't die.
The following are all the Palmer's on the CWGC site.
PALMER, HERBERT Private 56022 15/02/1919 40 Manchester Regiment United Kingdom Duk. N.C.. B. 2. 14. DUKINFIELD CEMETERY
PALMER, HAROLD Serjeant 8265 12/10/1916 38 Manchester Regiment United Kingdom Pier and Face 13 A and 14 C. THIEPVAL MEMORIAL
PALMER, THOMAS Private 2455 07/08/1915 Manchester Regiment United Kingdom Panel 159 to 171. HELLES MEMORIAL
PALMER, ALBERT BERTIE Corporal 301835 21/03/1918 Manchester Regiment United Kingdom Panel 64 to 67. POZIERES MEMORIAL
PALMER, HERBERT Lance Corporal 2864 23/04/1917 35 Manchester Regiment United Kingdom Bay 7. ARRAS MEMORIAL
PALMER, WALTER HARVEY Second Lieutenant 23/04/1917 19 Manchester Regiment United Kingdom Bay 7. ARRAS MEMORIAL
PALMER, R H Private 54210 20/10/1918 Manchester Regiment United Kingdom B. 1. BELLE VUE BRITISH CEMETERY, BRIASTRE
PALMER, R Private 47452 01/05/1917 Manchester Regiment United Kingdom P. I. E. 5B. ST. SEVER CEMETERY EXTENSION, ROUEN
PALMER, HENRY GEORGE Private 275434 08/09/1917 20 Manchester Regiment United Kingdom I. C. 27. ZUYDCOOTE MILITARY CEMETERY
PALMER, C Corporal 44458 04/10/1918 Manchester Regiment United Kingdom B. 3. BEAUREVOIR COMMUNAL CEMETERY BRITISH EXTENSION
PALMER, WILLIAM HENRY ELVERY Private 54454 24/03/1918 19 Manchester Regiment United Kingdom V. B. 16. LE CATEAU MILITARY CEMETERY
Neil