But Hereford, wh, as Town boss Paul Sturrock admitted afterwards, should have won the game, will no doubt feel that they should have collected their first victory in eight games.
Although Swindon led on corners at the break - by five to four - it was the Bulls who had much the better of the first period.
Only a series of fine saves by Swindon keeper Smith prevented the home side from building up a substantial lead.
The former Crawley Town man was in the action as early as the third minute, diving to push away to Tamika Mkandawire's header from a Danny Thomas corner. The keeper then dived to catch Alan Connell's first-time volley from a Steve Guinan cross.
Barry Corr's header from a Christian Roberts corner hit the outside of a post as Swindon posed a rare attacking threat, but the Robins should have fallen behind on 26 minutes.
A brilliant piece of skill by Andy Williams took the midfielder past three tackles only for him then to chip his shot the wrong side of an upright. With Hereford back on the attack, Smith then did well to push away Guinan's header from a Rob Purdie corner six minutes before the break.
After the interval, on a warm afternoon, the pace understandably slackened and Town came more into the game.
But even though Swindon had a greater share of the play, they were rarely able to get into shooting positions and their best chance, 19 minutes into the half, saw midfielder Michael Pook's crisp shot fly straight in the arms of Hereford keeper Wayne Brown.
The match ended with a flurry of bookings by referee Paul Melin mostly for dissent, with Swindon finishing the match with five yellow cards.
Hereford's only two cautions both went to substitute Tim Sills, who managed to be punished twice for dissent inside 60 seconds to bring a summary end to his five minutes on the pitch.