The restored 17th century inn will have a bar, dining room and five bedrooms, as well as a walled garden.
True to Henderson's produce-led cooking style, The Three Horseshows will work closely with local suppliers including family-run smokery Brown and Forest; Swaledale; Westcombe Dairy; and Feltham’s Farm.
The main dining room will serve dishes including devilled crab with focaccia; Wetscoombe ricotta nudi with sage and butter; chicken and tarragon pie; and grilled brill with fennel, chard and green sauce.
There will also be desserts such as plum and Somerset apple crumble; custard tarts; and local cheeses with cob nuts.
Additionally, the bar will serve a dedicated snacks menu that includes of crisp pig's skin; smoked cod’s roe; potted pork; and veal mince on toast.
Originally from New Zealand, Henderson's career in London began at The French House in Soho, where she met her husband, Fergus Henderson, co-founder of St John.
She opened Rochelle Canteen with business partner Melanie Arnold in a former school in Shoreditch in 2004.