From http://www.parsonrussellterrierclub.co.uk/history.html:
In 1862 the Reverend Handly owned a bitch called ‘Sting’ who became first in the line of Family III of Smooth Fox Terrriers. ‘Sting’ was mated to a dog called ‘Tartar’ and they produced a bitch called ‘Grove Nettle’.
In 1868 it was recorded that the Reverend John Russell bred a bitch named ‘Juddy’ who was by ‘Grove Willie’ out of John Russell’s bitch ‘Vic’. ‘Juddy’ was the first ancestress of Family I of Smooth Fox Terriers.
‘Juddy’ was mated to ‘Old Hornet’ (who was out of ‘Grove Nettle’) and produced ‘Moss I’ in 1869. She was mated to Mr Gibson’s ‘Bitters’ and ‘Moss II’ was the result. Moss II was mated to the Russell-bred ‘Tip II’ and from this came ‘Wasp’ who went to Mr Thomas Wooten of Nottingham. In 1883 ‘Wasp’ produced ‘Lill Foiler’ by a dog called ‘Young Foiler’ (who was also descended from ‘Juddy’). From ‘Lill Foiler’ came ‘Carlisle Tack’ and then his son ‘Carlisle Tyro’.