The results means Blades boss Micky Adams is still searching for a first win after 12 games in charge.
Former manager Micky Adams left Vale on 30 December to join Sheffield United.
The 25-year-old has signed a two-year deal to link up with boss Micky Adams for the fourth time in his career.
Leicester boss Micky Adams has admitted he has received letters from supporters condemning the players before they have been found guilty.
BBC: SPORT | Football | My Club | Leicester City | Leicester trio to miss out
Ashley Grimes' late winner stretched Vale's winless run to five games since Gannon was appointed as Micky Adams' successor on 6 January.
"We'll continue negotiating with them, " manager Micky Adams told BBC Radio Stoke.
Horsfield signed a one-year contract with Port Vale on Tuesday and will work at Vale Park as number two to manager Micky Adams.
The job has been vacant since Micky Adams left to join Sheffield United on Thursday but the club has moved quickly to outline potential successors.
Ex-Swans boss Micky Adams is now in charge has let Britton go to make room for new faces, despite him being a regular figure making 26 appearances.
"He still has a few issues but we've managed to do a standard loan so that he's available to us anyway, " Vale boss Micky Adams told BBC Radio Stoke.
Nicky Law's side had gone into the game on the back of three consecutive wins, but ultimately proved no match for Micky Adams' side, who comfortably consolidated second place behind Portsmouth.
Leicester boss Micky Adams leapt to Walker's defence.
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Meanwhile, trialist Claus Jorgensen has refused a deal at Vale Park after manager Micky Adams offered the former Blackpool midfielder a short-term contract, and striker Steve Thompson has joined Blue Square North side Stafford Rangers on loan.
Sunderland might have seemed like a dream move - but, as Micky Adams found out last year when he went to Leicester with Dave Bassett, being the secondary element of a partnership allows you little room to do your work.
The better, quieter scenes, between Micky and his girlfriend (Amy Adams), who wants to pull him to safety, seem to hail from a different movie, and it becomes ever harder as the story lurches forward to see where the focus of interest lies.
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