Two goals in either half sent the Robins crashing out of the FA Vase at the first hurdle for the second season in succession.
An early own goal from a Robins defender gave Ryhope the perfect start.
Nick Cassidy, Gareth Bainbridge and Ryan Carr all had chances to level before the break.
However, the hosts doubled their lead through a fine Jon Weirs solo goal.
And after substitute Scott McCarthy’s effort was blocked at the near post with ten minutes to spare, the Robins hopes of a cup run were over.
Both sides began the game with a point to prove, after disappointing results in their last matches. However, in the sixth minute, the hosts broke the deadlock when Robbie Bird’s swinging cross was diverted past Purvis by Gary Ormston.
Despite the setback, the Robins pressed forward and only one minute later, Bainbridge fired at goal from range, only to see the ball clear the crossbar.
Bainbridge was proving to be a headache for the Ryhope defence, with a near post header not far away from hitting its target.
Moments after, Paul New’s scuffed shot into the box was deflected by Wayne Buchanan, with Ryhope keeper Jordan Harkess alert to the danger.
In a game of little action, it was the Robins who were enjoying a lion’s share of possession and in the 19th minute, the referee waived away the visitors penalty claims after Kyle Patton was felled in the penalty area.
In the 26th minute, Patton was once again at the centre of the action. A brilliant through ball saw the young winger break away at goal, only for his attempted shot to sail into the arms of Harkess.
The Robins were keeping the pressure up and in the 30th minute, fullback Chris McDonald came close when he found space on the left hand side to fire a powerful shot on goal. Once again, Harkess was on hand to parry the ball behind for a corner.
Shields came even closer three minutes later, this time from a Cassidy freekick, with the Ryhope keeper making a splendid save to keep his side ahead.
The more they pushed forwards, the more space was left at the back and in the 35th minute, James Ellis collected an Ollie Hotchkiss through ball before seeing his shot bobble narrowly wide of the post.
Only moments later, Bainbridge had a gilt-edged chance to draw the Robins level, when he found himself in the six-yard box.
After a defender missed his header, the ball fell to Bainbridge but he couldn’t react quickly enough to steer the ball home.
After missing multiple chances to equalise, the Robins were punished only moments after the restart. Substitute Weirs intercepted a poor cross field ball from Paul Robinson before bursting through on goal and slotting the ball beyond Purvis.
The Robins were now throwing more bodies forward and with just over a quarter of the game left, it almost paid off.
Scott McCarthy, who had just come on to replace Paul Robinson, almost ghosted in at the far post but just like Bainbridge in the first half, he cant control the ball and it flies wide from close range.
Not only were Ryhope soaking up what the Robins were throwing at them, they were also creating chances of their own.
After Weirs almost adds his second and the hosts third goal of the day, midfielder Hotchkiss fired a freekick from 25 yards out straight into the chest.
With time running out, and the hosts draining the clock, the Robins dreams of another FA Vase run were ended prematurely.