Kidderminster Harriers were seeking to maintain an unbeaten run of four games away from Aggborough with the visit to the International Stadium, home of fellow promotion chasing Gateshead.
Gateshead, themselves unbeaten in six games which had propelled them into the play off positions just three points behind Harriers going into this fixture.
Harriers made two changes to the starting line up from the side beaten by Kettering last time out, Koby Arthur and Max Taylor making way for Omari Sterling and Alex Penny.
Harriers started brightly, Morgan-Smith flashing a header straight at Harrison Male. Montrose came close to opening his account only to see his effort cleared off the line.
The home side responded with Jordan Preston feeding the ball into the path of captain Greg Olley whose effort was deflected wide by the advancing Luke Simpson.
Jake Cooper headed over and Danny Greenfield went close before Alex Nicholson made a last ditch challenge to deny Morgan-Smith.
Simpson produced a flying save to keep out a Preston effort as the hosts closed the half on top.
Gateshead full back George Smith snatched at an effort on 53 minutes and the shot flew wide as both sides battled to gain the upper hand.
Defences were at a premium as the sides pressed in search of a winning goal.
That goal arrived on 83 minutes and it was the visitors who celebrated.
Ashley Hemmings delivered a deep right wing corner and Lewis Montrose evaded his marker to bundle the ball home from close range to give Harriers a slender advantage.
The visitors held firm against the expected onslaught to secure the win and the only unbeaten away tag in the division.
Gateshead: Male, Nicholson, Smith, Griffiths, Cooper, Hunter, Greenfield, Garner(Langstaff 78), Cook, Olley, Preston. Subs not used: Cameron (gk), Ward, Dale, Deverdics.
Harriers: Simpson, Penny, Richards, Moyo, Lowe, Maxwell(Prosser 65), Montrose, Austin (Fremantle 80), Morgan-Smith, Hemmings, Sterling-James (Arthur 90+2). Subs not used: Taylor, Phillips(gk)