▁second ▁division ▁in ▁ 1 9 6 5 . ▁The ▁club ▁returned ▁to ▁its ▁original ▁name ▁in ▁ 1 9 7 1 , ▁and ▁in ▁ 1 9 7 2 ▁they ▁joined ▁the ▁Mid land ▁League . ▁However , ▁after ▁finishing ▁bottom ▁of ▁the ▁table ▁in ▁ 1 9 7 3 – 7 7 , ▁the ▁club ▁left ▁the ▁league , ▁returning ▁to ▁the ▁Premier ▁Division ▁of ▁the ▁West ▁Mid lands ▁( Reg ional ) ▁League . ▁They ▁were ▁league ▁champions ▁in ▁ 1 9 7 7 – 7 8 , ▁and ▁after ▁finishing ▁as ▁run ners - up ▁in ▁ 1 9 8 3 – 8 4 , ▁the ▁club ▁moved ▁up ▁to ▁the ▁Mid land ▁Division ▁of ▁the ▁Southern ▁League . ▁ ▁In ▁ 1 9 9 1 – 9 2 ▁Hed nes ford ▁were ▁Mid land ▁Division ▁run ners - up , ▁ear ning ▁promotion ▁to ▁the ▁Premier ▁Division ; ▁they ▁also ▁reached ▁the ▁final ▁of ▁the ▁Wel sh ▁Cup , ▁losing ▁ 1 – 0 ▁to ▁Card iff ▁City . ▁They ▁won ▁the ▁Premier ▁Division ▁in ▁ 1 9 9 4 – 9 5 ▁and ▁were ▁promoted ▁to ▁the ▁Football ▁Conference . ▁In ▁their ▁first ▁season ▁in ▁the ▁Conference ▁the ▁club ▁finished ▁third . ▁The ▁ 1 9 9 6 – 9 7 ▁season ▁saw ▁the ▁club ▁reach ▁the ▁first ▁round ▁of ▁the ▁FA ▁Cup ▁for ▁the ▁first ▁time ▁since ▁ 1 9 1 9 – 2 0 . ▁After ▁be ating ▁South port ▁ 2 – 1 ▁in