Villanueva's delightful free-kick proved to be the match-winner
Blackburn produced an efficient display to see off Blue Square North side Blyth and reach the FA Cup fourth round.
The closest Rovers came to a first-half goal was Matt Derbyshire's shot put into his own net by Andrew Leeson, but Derbyshire was off-side anyway.
Carlos Villanueva's curling free-kick in the second half finally gave Rovers the lead their dominance deserved.
Andrew Wright wasted the hosts' best chance when he volleyed Alex Gildea's cross wide in the dying stages.
Robbie Dale also tried a desperate late overhead kick in an attempt to keep alive the minnows' hopes of repeating their famous march to the fifth round of the competition in 1978.
But it was not to be for the Northumberland side and the crowd of 3,445 at Croft Park. And it is their illustrious visitors, who advance to the fourth round and a trip to Sunderland.
Early on, match-winner Villaneuva looked dangerous and tried a couple of efforts from range before threading a pass through into the path of Derbyshire as he bore down on goal, but he was denied by an expertly timed block by Kenny Boyle.
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