St Patrick's Athletic stay top of the Premier Division thanks to an early Ryan Guy strike at Richmond Park.
The American struck a low drive past James McCarthy on 11 minutes for his third league goal of the campaign.
Pat's had further chances but didn't take them. The looked a shadow of the side that destroyed Linfield at the same venue three nights previously.
Cobh, playing their first League of Ireland match at the Inchicore venue in over a decade, took their time in settling into the game and had their first decent chance on goal on 17 minutes when Kieran O'Reilly got an effort on target but Barry Ryan made the save.
Ramblers came more and more into to it and gave the Pat's defence plenty to deal with. The pick of the chances being a decent drive from Alan Kearney on 27.
Davin O'Neill looked quite lively for Ramblers wide on the right while Graham Cummins and Michael Mulconry also looked dangerous.
The visitors saw plenty of the ball but found the Pat's defence quite resolute, with Dessie Byrne and Damien Lynch doing well.
Byrne was in a deep position when he cracked a shot off the woodwork minutes into the second half.
Cobh then enjoyed a tremendous spell of play beginning on the hour-mark that saw them force several corners. One of these, a beautiful strike by Kenny Coleman, was cleared over the crossbar by David Partridge.
On 82 Coleman again sent over an inch-perfect corner kick from the left that drew a fine save from Ryan in the Pat's goal who was having a much busier second period than he had in the first.