What is this aircraft with elaborate folding wings?
Fairey Gannet ECM.6, c/n F9311, stored at White Waltham Airfield in the county of Berkshire in England. This place is incidentally where the Fairey Aviation Company built and test-flew the Gannet. An aerial picture from Google Maps:

Farey Gannet XA 459 at White Waltham Airfield. Google Maps
In Feb. 2020 the aircraft was Finally moved to Solway Aviation Museum to be heavily restored for public display.
The wings can be folded in order to park the aircraft on a carrier deck, or on its storage areas. Unfolding the wings (video).

Fairey Gannet ECM.6
Fairey Aviation was a manufacturer which worked a lot with the British Royal Navy's Fleet Air Arm (FAA). With the role played by German and Japanese submarines during WW2, the FAA reinforced its anti-submarine warfare. Fairey Aviation developed the carrier-borne Type Q, later renamed Gannet version AS.1 quickly upgraded to a more powerful AS.4.

Fairey Gannet AS.4. Source
The prototype first flew on 19 September 1949 and made the first deck landing ever by a turboprop aircraft, on HMS Illustrious in June 1950. The anti-submarine role was later taken by helicopters, and AS.4 versions were converted for electronic countermeasures (ECM.6). A third seat was later added over the wing trailing edge for a second observer. This disturbed the airflow over the horizontal stabilizer, requiring the addition of small finlets:

Fairey Gannet ECM.6 with three seats. Source: Gothic-Air

Fairey Gannet landing on Australian HMAS Melbourne. Picture David Tomkinson, source
The Fairey Gannet was powered by a dual Armstrong Siddely Mamba, driving two contra-rotating propellers. One engine could be shut down in flight to conserve fuel if required.
XA 459 RN
A total of 348 Gannet were built, this particular airframe is c/n F9311 registered XA 459 RN for the Royal Navy. It entered 814 NAS in March 1957 as AS.4. Here at RNAS Culdrose in 1976, after it was converted into ECM.6:

Fairey Gannet ECM.6 at RNAS Culdrose, 1976. Photo by Ray Barber at flickr
The aircraft was decommissioned in 1978 and later displayed at Wales Aircraft Museum (Cardiff EGFF):

Fairey Gannet ECM.6 at Wales Aircraft Museum, 1982. Photo by Chris England at ABPic
The museum was disbanded in 1996. The Gannet was then acquired by private individuals in order to restore it. However tragical events prevented the restoration. It was finally bought by White Waltham airfield in 2006.

White Waltham from 2006 to Feb. 2020

XA 459 at White Waltham. Photo by Renegade53 at ipernity

XA 459 at White Waltham. Photo by Jon Wickenden at Flicr
Ian Meredith told us in February 2020 the Gannet was moving to a new place:

Tonight the Gannet and its spare engine(s?) was aboard a low loader
for a UK museum. A place of restoration, a place in the dry.

This place is the Solway Aviation Museum at Carlisle Lake District Airport. On the move:

Fairey Gannet XA 459 moving to its new place, Feb 2020. Source.
Solway Aviation Museum since 2020
Video of its arrival

More about the aircraft:

Exhaustive description of the Fairey Gannet: Alchetron
Pictures: Fleet Arm Association of Australia
Pictures: Flickr
History: Stephen Metcalf's page
History: South Wales Aviation Group