Valley's dismal run of form continued with a heavy home defeat to rivals Bourne Town to sink deeper into relegation trouble.
The visitors boosted their own survival hopes after three goals within nine first-half minutes while extending Rugby's terrible run of form.
Zac Allen's clever clipped finish over keeper Xander Grieves' head started the rout after just eleven minutes after Bo Morris' poor defensive header.
Midfielder Robbie Ellis made it two with a neat volley on the turn following Freddie Allen's cross.
Rugby gave themselves a mountain to climb shortly after when Grieves could only get a hand to Lewis Darlington's successful strike from the edge of the box, although the hosts did rally a little after the interval, with Rivel Mardenborough finally testing Will Lakin with an overhead kick.
Lakin was also down well to save Sam Tye's header to a Trey Charles cross, with Bourne's clean sheet preserved late on when Harrison Nee had back-to-back efforts blocked.
