Scarborough Athletic stopped Alfreton's unbeaten home run after a fine display in Derbyshire.
The National North encounter started slowly but burst into life with three goals in five minutes towards the end of the first half.
Frank Mulhern broke the deadlock on 36 minutes with Harry Green quickly adding a second.
Former Boro striker Jake Day then pulled one back for the hosts, four minutes before half-time.
Luca Colville then won it for the Seadogs midway through the second half with an impressive solo effort.
Unsurprisingly, Boro chief Jono Greening told SAFC TV he was a happy man at full-time:
Boro go back to FA Cup action when they visit Gloucestershire on Tuesday night.
The Seadogs go to League Two Forest Green Rovers with the winners away at Blackpool in round two.
If you can't make the trip, we have full commentary from just before 7.45pm via DAB in North Yorkshire.
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