Ashington led 18-13 going into the final quarter against Bishop Auckland but lost a game they could have won.
This was a scrappy, penalty strewn match that could have gone either way.
Bishops were deservedly 8-0 up after 20 minutes with a well struck fifth minute penalty and a try in the centre after a fly-half break.
Ashington began to win some ball and a backs move saw full-back Dodds score in the corner, Elliott adding the touchline conversion.
Elliott then gave Ashington a 10-8 lead with a well struck penalty.
The home side were having their best spell and on the stroke of half-time, fly-half Jarvis crossed for a try from a blind-side move to give them a 15-8 interval advantage.
Early in the second half the visitors scored a well taken blind-side try from a five-metre scrum after a period of pressure.
A weaving run from Dodds, who looked dangerous whenever he got the ball, set winger Weekes away and he was eventually tackled into touch just short of the try line. This set up a period of sustained Ashington pressure and Elliott extended the home side’s lead with a penalty in front of the posts.
Ashington had influential assistant player-coach Menzies yellow carded and after a series of five-metre scrums Bishops broke and scored in the corner to level the scores.
They then added a further try with five minutes to go, and on the stroke of full-time kicked a penalty to deny Ashington a losing bonus point for the second week running.
Ashington continue to look good in spells but failed to capitalise on their chances, even during periods when they monopolised possession.
On Saturday Ashington are away to Seaton Carew.