Question: What brewery founded in 1968 in Faversham, Kent is associated with the Stagg Inn, public house in Hastings?

Context paragraphs:
The Stagg Inn: The Stagg Inn is a restaurant located in Titley near Kington, Herefordshire, England.  As of 2015, the restaurant holds one star in the Michelin Guide.  The Stagg was the first pub to be award a Michelin star in 2001.

Cat and Fiddle Inn: The Cat and Fiddle Inn is the second-highest inn or public house in England (the Tan Hill Inn being the highest).  The inn is situated on the eastern fringes of Cheshire in the Peak District National Park on the A537 road just west of the Derbyshire/Cheshire county boundary, on the western side of Axe Edge Moor.  It is at an elevation of 1689 ft above sea level (although a measurement commissioned by a former landlord suggested a figure of 1772 ft , which would surpass that of the Tan Hill Inn).  The Ordnance Survey have fixed an accurately measured flush-bracket benchmark to the front wall of the pub.  The height of this flush bracket is 515.1984 m , and the flush bracket is 0.4 m above the ground level, which casts doubt over the validity of the private survey.

Faversham (UK Parliament constituency): Faversham was a parliamentary constituency centred on the town of Faversham in Kent which returned one Member of Parliament to the House of Commons of the Parliament of the United Kingdom.

Starobrno Brewery: Starobrno Brewery (in Czech: Pivovar Starobrno) is a Czech brewery located in the city of Brno.  It was built as a successor of the brewery founded in 1325, as a part of Cistercian convent.  The brewery was named "Starobrno Brewery" only in the second half of the 19th century.  In 2009, Starobrno Brewery produced more than one million hectoliters of beer.  The same year, the brewery merged with the Royal Brewery of Krušovice and became a part of the Dutch brewing company Heineken.

Wouldham: Wouldham is a small village on the bank of the River Medway in Kent, Great Britain.  As of 2006 its population is approximately 1000 people, with the 11th-century church, one school, one village shop, and two public houses, The Medway Inn and The Waterman's Arms.  The 3rd public house in the village- The Foresters Inn closed to the public in 2013.

Faversham by-election, 1928: The Faversham by-election, 1928 was a parliamentary by-election held in January 1928 for the British House of Commons constituency of Faversham, in Kent.

Shepherd Neame Brewery: Shepherd Neame is an English independent regional brewery founded in 1698 in Faversham, Kent, and family-owned since 1864.  The brewery produces a range of cask ales and filtered beers. Production is around 210,000 brewers' barrels a year.  It owns 328 pubs and hotels, predominantly in Kent, London and South East England.  The company exports to more than 35 countries including Sweden, Italy, Brazil and Canada.

Hector Wilks: Hector Wilks was an English botanist and conservationist.  He is perhaps best known for rediscovering the Monkey Orchid ("Orchis simia") in Kent at a site near Faversham and subsequently introducing the species to Park Gate Down near Elham.  The site near Faversham remains one of only two native sites for the Monkey Orchid in the British Isles and has remained closed to the public since its discovery.  On the 21 May 2007 Park Gate Down was renamed "The Hector Wilks Reserve" in recognition of his involvement with the reserve from its inception.

Crown and Thistle Inn, Monmouth: The Crown and Thistle Inn was a public house in Monmouth, Monmouthshire, Wales.  It was in the historic Agincourt Square neighbourhood.  Prior to its conversion to a public house, the building served as the premises of an apothecary.  During the early nineteenth century, the Crown and Thistle Inn briefly housed one of the earliest Masonic Lodges in Monmouthshire.

Stag Inn, Hastings: The Stag Inn is a public house in the Old Town area of Hastings, a port and seaside resort in East Sussex, England.  One of many ancient buildings on All Saints Street, the 16th-century timber-framed inn was refronted in the 18th century, but many of its original features remain.  The preserved bodies of two smoke-blackened mummified cats have been displayed on a wall since their discovery in the 19th century; witchcraft has been suggested as an explanation for this "grisly sight".  The inn, which claims to be Hastings' oldest surviving pub, is operated as a tied house by the Shepherd Neame Brewery, and has been listed at Grade II by English Heritage for its architectural and historical importance.

Supporting paragraphs: Stag Inn, Hastings Shepherd Neame Brewery
Answer: Shepherd Neame Brewery