Her maternal grandparents were Sir Richard Ford, chief magistrate (1800–1806) and an amateur painter, Marianne (née Booth).

After the death of Corbett on 8 December 1904, Betham moved to 'The Beeches', 69 Stafford Street, Market Drayton, where she died on 18 April 1913.

Along with her father and other relatives living in the neighbourhood, she became a member of The County of Dublin Archers, one of Ireland's leading archery clubs at the time.

Her first national win was coming runner-up at the August 1863 Irish women's championship at the Carlisle cricket and archery ground in Bray, the second time this competition had been held.

The highest point of her career was in 1864 when she won the British championship at the Grand National archery competition, held at Alexandra Park, London on 6 to 8 July.

She won her first Irish national championship the same year the competition held at the Leinster Cricket Club's grounds, in Portobello, Dublin from 27 to 28 July.