Ramsey gained a bonus point at Mooragh Park, just losing out 14-12 to Oldershaw in South Lancashire/Cheshire Division Two.
Ramsey trailed 11-5 at half-time.
Matty Williams put Oldershaw ahead with a try and, when Neil Cross added two penalties, it looked like a beating was on the cards.
Ramsey hit back and a try from Andy Cleator kept them in it.
In the second half, Lance Wyllie added a second try for Ramsey which Ben Harding converted to put them 12-11 ahead.
However, a late penalty from Neil Cross sealed it for the visitors.
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