Stockton drew an error-strewn game 27-27 at Ryton after fly half Jeremy Good kicked five penalties for a 15-10 interval lead.
The hosts moved ahead through a penalty and a try when Stockton lost control of their line-out ball, but when Ryton dropped the ball in midfield Simon Crozier kicked on to score and Good converted.
At 22-20 ahead Stockton had Ben Cordiner and Mark Skirving sin-binned in separate incidents and with three minutes left Ryton broke through the middle to score a converted try.
In injury time Stockton moved the ball along the line for the first time and winger Matt Taylor scored in the corner, Good's conversion attempt hitting a post.
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