If the shoulder title does say Yeomanry, then as MaecW says, the North Somerset Yeomanry is the most likely candidate. They were founded as the Frome Troop in 1798, and together with the East Mendip Regiment became the North Somerset Yeomanry in 1814. The Regiment has always had a base in Frome. During the Second Boer War the North Somerset provided around 115 troopers to form the 4th Company of the 7th Battalion of the Imperial Yeomanry. They were used in the mounted infantry role.
At the start of the First World War the Regiment was split into two, with the Territorial Force soldiers who had volunteered to serve overseas forming the 1/1st North Somerset Yeomanry which went to France on 3 November 1914 as part of 6th Cavalry Brigade, while those who had only signed up for the home defence role remained in Britain as the 2/1st North Somerset Yeomanry, stationed initially in the Calne area before being moved to Kent, then much later to Dublin.