RHP must wait until Thursday night to be officially crowned champions barring a freak Newark Flowserve result.
The leaders missed the chance to lift the title on Sunday when they were beaten 4-2 at home by Barkestone-le-Vale, who a week earlier had dented the hopes of previous table-toppers Newark Town.
While RHP were losing, Town were beaten for the third time in six days as Flowserve kept alive their extremely faint hopes of the title with a 3-0 win.
Flowserve, who beat Town for the second time in four days, are three points behind RHP and have a vastly inferior goal difference ahead of their last match at Coddington Mill tonight, which they must win by 27 goals to deny RHP the title.
Darryl Price struck twice after a Grant Reed opener as all the Flowserve goals came in the second-half.
Last Thursday, Flowserve beat their Newark rivals 4-2.
Town’s previously miserly defence conceded its sixth goal in three days as a Tyler Martin double and further goals by Gareth Price and Daryl Price gave the Sam Arnold Memorial Trophy winners the points after an even first-half ended 1-1.
That meant RHP just needed a point from their last match on Sunday to guarantee the title.
But they trailed 3-0 by half-time to goals from Sam Garner, Dave Smith and Robert Lakin
In the second-half RHP improved and got back into the game when James Lloyd struck a good shot past Barkestone keeper Jake Hutchinson.
Tom Potts reduced the arrears to 3-2, but was then sent off before Lakin hit his second goal of the game to seal Barkestone’s surprise win.
Substitutes Robert Brown and Simon Hughes netted for Wheatsheaf United as they lost 3-2 at Collingham.
A Taylor Hursthouse double and a strike from Andrew Shaw earned the home side their fifth win of the season.