I find it very strange that the fallen of the 2nd Worcesters should be commemorated in Worcester Cathedral but not the fallen of the 1st & 6th - especially as the 1st made the biggest sacrifice in numbers. Just flipped through the October 1902 QSA medal roll for the 6th and 6 out of about 550 are listed as "deceased".
The 4th Battalion were also involved and this is all the Regimental website has to say about the 6th & 4th:
"6th Battalion (Militia)
On the 18th December 1901 the men of the 6th Battalion (Militia) Worcestershire Regiment embarked at Southampton on the troop ship and headed for the war in South Africa. On the 18th January 1902 the Battalion disembarked at Cape Town."
"4th Battalion
The 4th Battalion were not involved in any fighting and were sent to South Africa towards the end of the war to guard prisoners. On the 18th February 1902, 16 officers and 411 men of the 4th Battalion Worcesteshire Regiment boarded the Harlech Castle to sail to South Africa."
They also provide a photo of the 6th which they have borrowed from the Roll-of-Honour website:
The caption reads "4th Battalion men on board the Harlech Castle"
Here are "my" 26 Smethwickian Worcesters - Pritchard appears on the Birmingham memorial & Carrington on the Dudley memorial because that is where they were born. At the time of their deaths their nearest and dearest were living in Smethwick and the time they both lived in Smethwick would have been very short. Incidentally they are the only two who can be found on the ABW Forum Name Search.
Private 4594 John Allmark, 1st Battalion, Worcestershire Regiment. (QSA 2 clasps, KSA 2 clasps)
Private 2482 Joseph Barnes, 1st Battalion, Worcestershire Regiment. (QSA 2 clasps, KSA 2 clasps)
Private 3367 Charles Busby, 1st Battalion, Worcestershire Regiment. (QSA 2 clasps)
Private 2735 Joel Foster, 1st Battalion, Worcestershire Regiment - Discharged with ignominy and imprisoned on return to GB - medals forfeited.
Private 5130 Charles Leonard Goodwin, 1st Battalion, Worcestershire Regiment - Discharged with ignominy and imprisoned on return to GB - medals forfeited.
Private 1013 James Hadley, 1st Battalion, Worcestershire Regiment. (QSA 3 clasps)
Private 5067 William Jones, 1st Battalion, Worcestershire Regiment. (QSA 3 clasps, KSA 2 clasps)
Corporal 2479 Henry Reed , 1st Battalion, Worcestershire Regiment. (QSA 3 clasps, KSA 2 clasps)
Private 2348 Ralph Tittley, 1st Battalion, Worcestershire Regiment. (QSA 2 clasps)
Private 1736 William Webber, 1st Battalion, Worcestershire Regiment. (QSA 2 clasps, KSA 2 clasps)
Private 2332 William Williams, 1st Battalion, Worcestershire Regiment. (QSA 2 clasps, KSA 2 clasps)
Private 3832 John Ball, 2nd Battalion, Worcestershire Regiment. (QSA 3 clasps, KSA 2 clasps)
Private 4203 John Carrington, 2nd Battalion, Worcestershire Regiment. (QSA 1 clasp) - Killed in action at Worcester Hill, Slingersfontein 12/02/1900.
Private 1580 Henry Harrison, 2nd Battalion, Worcestershire Regiment. (QSA 3 clasps, KSA 2 clasps)
Private 3665 Joseph Jackson, 2nd Battalion, Worcestershire Regiment. (QSA 5 clasps)
Private 2910 Thomas Jones, 2nd Battalion, Worcestershire Regiment. (QSA 3 clasps, KSA 2 clasps)
Private 3265 William Mallin, 2nd Battalion, Worcestershire Regiment. (QSA 3 clasps, KSA 2 clasps)
Corporal 4232 John Harry Pritchard, 2nd Battalion, Worcestershire Regiment. (QSA 1 clasp) - Killed in action at Worcester Hill, Slingersfontein 12/02/1900.
Private 4118 Arthur Smith, 2nd Battalion, Worcestershire Regiment. (QSA 1 clasps, KSA 2 clasps)
Private 6112 Frederick Snelus, 2nd Battalion, Worcestershire Regiment. (QSA 4 clasps)
Private 5049 Thomas Turley, 2nd Battalion, Worcestershire Regiment. (QSA 2 clasps)
Private 4405 Joseph Walker, 2nd Battalion, Worcestershire Regiment. (QSA 2 clasps)
Private 5446 Walter Bonehill , 6th Battalion, Worcestershire Regiment. (QSA 2 clasps)
Private 6373 Frederick George Cross, 6th Battalion, Worcestershire Regiment. (QSA 2 clasps)
Private 5872 Samuel Johnson, 6th Battalion, Worcestershire Regiment. (QSA 2 clasps)
Colour Sergeant 9175 William Ray, 6th Battalion, Worcestershire Regiment. (QSA 2 clasps) - Mentioned in Despatches (Gazetted 23/06/1902).
I think this list shows up a shortcoming of the medal protocol for the ABW - the two who paid the ultimate sacrifice are the least honoured by their medals. There was at least one published letter to the Smethwick Telephone during the war expressing this point of view.