Yes, extending a house in Langford is about as straightforward as it gets in England. Only four buildings in the village are listed. There is no conservation area at all. Your rear extension is a conversation with the ordinary planning rules and your neighbours, with nobody else involved. The bigger question is what's under the foundations.
Langford has four listed buildings: one Grade I, none Grade II*, and three Grade II. Listing means any change to the building, inside or out, needs listed building consent on top of any planning permission, and the bar for altering historic fabric is high. With only four in the village, the odds that the house you're buying is one of them are very low. There is also no scheduled monument inside the village. Langford was first recorded in 944 and was once held by the Knights Templar, yet hardly any of that history is protected in a way that would limit what a homeowner does to the back of their house.
The neighbours are already building. Central Bedfordshire Council's records show 578 planning applications for the area between April 2024 and June 2026, with 219 in the last twelve months. That is a village where people extend, convert and alter as a matter of routine. A parish that made room for wind turbines and a solar farm in its fields is not going to be shocked by a garden room.
The British Geological Survey puts the whole area in shrink-swell class 3, and every postcode reaches that class. Clay soils swell when wet and shrink when dry, and that movement is what cracks badly founded extensions. The village core is mostly on river gravel, but boulder clay over Gault lies to the east. A structural engineer's view on foundation depth is the sensible first step for any extension here. Building control will want proper footings, and nearby trees, which pull water out of clay, will affect how deep they go. None of it is a reason not to build. It is a reason to budget for the right foundations.
In practice, most houses in Langford have the full standard permitted development rights. Without a conservation area, there is no extra layer of restriction on side extensions, cladding or roof alterations, so many single-storey rear extensions and loft conversions can go ahead under permitted development or the prior-approval process, with a full application only for bigger or two-storey schemes. The exception is newer estates, where the original planning permission sometimes removed those rights by condition. Ask your conveyancer to check the planning history of the house, so you know whether the rules everyone else follows apply to your plot.
Freedom to extend is one of Langford's real strengths: a short list of listed buildings, no heritage boundaries, and a village that builds extensions as a matter of routine. The clay under your foundations will cost you more than the planning will.