Nelson paid tribute to former manager Ian Britton prior to their North West Counties Premier Division clash with 1874 Northwich.
The club held a minute’s applause in tribute to the Clarets legend, who guided the Admirals to their last cup success when lifting the Second Division Trophy in 1997.
Boss Paul Fildes made two changes for the visit of their high-flying opposition, who had netted 10 goals in their last two games.
In came Stephen Cassidy and Adam Nuttall, at the expense of Stephen Whitley and Nathan Webb.
After Mark Sharples drew a save from Greg Hall from a corner, Cassidy saw his effort deflected wide for a corner as the hosts pressed for the opener.
However, Nelson fell behind in the 38th minute when they failed to deal with a set-piece and an unmarked Craig Farnworth capitalised to open his account for the visitors when beating Sean Davis at the back post.
The away side almost doubled their advantage before the interval but Davis did well to deny Stuart Wellstead with his legs to keep the Blues in the game.
Nelson started the second half on the front foot and goalkeeper Hall was forced to plunge to the foot of his upright to keep Nuttall’s attempt out at full stretch.
The visitors had a superb opportunity to extend their lead shortly after when Matthew Beadle - who has scored 24 goals in all competitions for his side this term - skewed his shot wide with only Davis to beat.
That squandered opportunity sparked a response from the home side and they were unfortunate not to grab an equaliser.
Hall parried Nuttall’s stinging drive to safety, Cassidy watched another goalbound effort diverted wide while Webb flashed an effort inches wide of Hall’s right hand post.
But after the visiting goalkeeper gather Bradley Wicks’s speculative strike from distance the visitors put the game to bed.
In time added on a corner broke for Farnworth who fired home his second goal of the afternoon to make it 2-0.
The Blues, who have won just once in 10 outings, host Winsford United on Saturday (kick off 3 p.m.) and then entertain table-topping Runcorn Linnets at Victoria Park on Tuesday, kick off 7-45 p.m.