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| The Hereford side at Warrington Town on Saturday |
The result means Boston leapfrog Hereford and rise to seventh - occupying the last play-off place.
Now with 72 points, the Bulls could draw themselves level by beating them at Edgar Street in the last game of the season on Saturday. But to go above the Pilgrims in the table, Hereford would need to overturn a goal difference of 22 and have other results go their way.
And even if Boston failed to win tonight, and Hereford beat them on Saturday, South Shields would still need to lose at home to Southport and King's Lynn Town would need to win at Spennymoor Town because of the Bulls' goal difference of minus two.
In front of 447 at The Banbury Plant Hire Community Stadium on Tuesday, including 137 from Boston United, Dylan Hill's low drive from 25 yards in the 36th minute gave the Pilgrims a deserved lead.
Banbury did have a good spell of possession in the second half but were unable to break the play-off chasing visitors down.
Despite all this, Hereford will finish 11th or higher in the table and with a new squad and rookie manager, and a less-than-favourable financial outlook early last year, most will agree it has been a great season.
The players and fans have a good relationship, the manager sings the praises of supporters constantly and communication from the club is probably the best it has been in years.
It's been an entertaining season too with crowds averaging 2,533 - and for context, Gloucester nabbed the last play-off place last year with 68 points when there were only four points between fourth and 13th.