But these teams shared 15 goals in their two League Two meetings last year, so it was only a matter of time until the net rippled.
Before the Mariners could draw breath, the hosts' skipper fired in a dangerous ball, which only required the slightest of touches for Jatta to turn home.
Grimsby could have equalised soon after, but Magpies keeper Alex Bass was alert enough to kick away Charles Vernam's powerful strike.
Crowley then capped off his lively opening to the game by controlling the ball with his chest and firing it into the far corner, though there was a suggestion of handball as he attempted to cushion Jones' delivery.
Jones then floated a ball in from the right which sailed over the goalkeeper and crashed in off the post, with only the menacing winger knowing if he meant it as a shot.
Harvey Rodgers' neat finish pulled a goal back for Grimsby on the stroke of half time, only for Crowley to have the last laugh in a quieter second half, as his shot spun into the goal off the helpless Mariners defender Cameron McJannet.