That was courtesy of a 2-1 win at Highworth Town, who were looking to move into the top five themselves.
Owen Howe gave Farm the breakthrough 3 minutes into the second half and then Mike Bryant doubled that on 66 minutes.
Sean Wood pulled one back for the Worthians, but they weren`t able to find a leveller.
Winchester City are now sixth after they won 4-0 at home against Slimbridge.
Simba Mlambo bagged a first-half brace for the Citizens, with two more coming in the final 6 minutes from Liam Callaghan and Max Smith.
Bideford AFC remain third-from-bottom after losing 1-0 at home to an Evesham United side who made it back-to-back wins.
In-form Callum Ebanks, who scored twice last weekend, grabbed the only goal just past the hour-mark.
Mangotsfield United are still second-from-bottom after losing 3-0 at Lymington Town.
After Ben Satterley had given the hosts a 17th-minute lead, Freddie Bullard bagged a brace in the 30th and 45th minutes to make it a comfortable afternoon for the newcomers.
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