After a game that burst into life with a scintillating second half the sides were forced to share the points, with both managers left to rue some poor defending.
The fun began early as Stevenage took the lead after just 44 seconds, with hat-trick hero Steve Morrison wasting little time to open his account for the afternoon as he latched on to the end of Luke Oliver's knockdown.
Morrison, a recent signing from Bishop Stortford, proved to be a nuisance for the Morecambe defence all afternoon and came close to adding a quick-fire second with a shot into the side-netting before Morecambe came into the game.
On 24 minutes the home side drew level when Michael Twiss rose superbly to head home an excellent right wing cross from Adam Yates past the helpless Alan Julian.
Boro were soon back in front, however, when Morrison showed his goalscoring instinct again when he ghosted in at the far post to head Steve Guppy's excellent cross into the top right hand corner.
Morrison came close to extending the lead further with a shot that was tipped wide by Ryan Robinson before the Shrimps stepped up a gear towards the end of the half.
Garry Hunter and Gary Thompson both drilled efforts inches wide from the edge of the area and Wayne Curtis, making his first start of the season, forced Julian into a fine save with a well-struck shot from the left hand side.
The Shrimps maintained the pace after the break and stormed into the lead with two goals in four minutes.
Both goals came from Curtis crosses with Twiss nipping in at the near post for is second of the afternoon on 47 minutes and Danny Carlton picking an opportune moment to score his first of the season with a neat finish from a low cross.
Once again Boro came back with Morrison scoring the goal of the game.
Guppy was again the creator with a ball down the left hand side, which Morrison collected on his weaker foot but cut inside and curled a superb right-footed shot into the top left hand corner.
From there either side could have taken the three points.
For Morecambe, Craig Stanley let fly with a superb strike that flew just wide of the right hand post, before Julian produced the save of the game to deny Hunter with a superb block low to his left.
At the other end Adam Miller was denied by the woodwork after a curling right-foot shot beat Robinson, and Morrison perhaps could have had another when he headed a Guppy cross wide from six yards out when he should have hit the target.
Craig Dobson, who had a quiet afternoon by his own standards, saw a shot deflected wide by the excellent Michael Howard and Miller's shot from distance forced Robinson into another neat save.
The game ended with Morecambe threatening as Carlton clipped an effort just wide of the left hand post and Thompson flashed a volley across the goal after a Hunter shot was beaten down.
The action continued to the death but in the end the sides shared the spoils.