The Woollybacks, who comfortably beat University of Hull 32-14 at home in the first round at the weekend, take on the St Helens side on the weekend of February 13/14.
Tom Sibley’s side will be in confident mood having disposed of the Humbersiders with ease.
Elsewhere Underbank Rangers were handed an away fixture against Kells after they defeated 2015 treble-winners Leigh Miners Rangers.
Northumbria University will play Siddal in the second round following a successful trip to Aberdeen beating the Warriors 42-16 in Scotland’s first-ever Challenge Cup game.
Eighteen clubs drawn from the community and University game will be looking to progress to the third round when Barrow Raiders and the rest of the 15 Kingstone Press League One teams enter the competition.
The second round draw is as follows: Kells v Underbank Rangers; Millom v Pilkington Recs; Shaw Cross Sharks v Castleford Lock Lane; Hunslet Club Parkside v West Hull; York Acorn v Distington; Hull Dockers v Featherstone Lions; Wath Brow Hornets v Oulton Raiders; Egremont Rangers v Rochdale Mayfield; Siddal v Northumbria University.
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