Question: Are the Bedlington Terrier and Parson Russell Terrier both terriers?

Context articles: Parson Russell Terrier
American Russell Terrier Club
Border Terrier
Fox Terrier
Da kommt Kalle
Russell Terrier
Moose (dog)
Teddy Roosevelt Terrier
Bedlington Terrier
Jack Russell Terrier Club of America

The Parson Russell Terrier is a breed of small white terrier that was the original Fox Terrier of the 18th century.
 The breed is named after the person credited with the creation of this type of dog, the Reverend John "Jack" Russell.
 It is the recognised conformation show variety of the Jack Russell Terrier and was first recognised in 1990 in the United Kingdom as the Parson Jack Russell Terrier.
 In America, it was first recognised as the Jack Russell Terrier in 1997.
 The name was changed to its current form in 1999 in the UK and by 2008 all international kennel clubs recognised it under the new name.
The American Russell Terrier Club (formerly named the English Jack Russell Terrier Club), founded by JoAnn Stoll in 1995, was the first registry in the United States to maintain the Russell Terrier as a separate breed from the Parson Russell Terrier.
 The American Jack Russell Terrier Club is affiliated with both the United Kennel Club and the American Kennel Club.
 The purpose of the early founders was to establish a registry for the perpetuation and development of the Russell Terrier as a pure strain of working Jack Russell Terrier keeping their blood and type pure within the registry to works towards Kennel Club recognition as an official breed in the US.
 On January 1, 2001, the United Kennel Club recognized the Russell Terrier as an official breed, designating only the stock from the American Russell Terrier Club as Foundation stock for the UKC Russell Terrier.
 In 2004 the American Russell Terrier Club submitted an official request to include the American Russell Terrier Club stock into the AKC FSS Program to work towards becoming an official breed under the perimeters.
 On December 8, 2004, the AKC officially accepted the Russell Terrier.
The Border Terrier is a small, rough-coated breed of dog in the terrier group.
 Bred as a fox and vermin hunter, the Border Terrier shares ancestry with the Dandie Dinmont Terrier and the Bedlington Terrier.
Fox Terriers are two different breeds of the terrier dog type: the Smooth Fox Terrier and the Wire Fox Terrier.
 Both of these breeds originated in the 19th century from a handful of dogs who are descended from earlier varieties of British terriers, and are related to other modern white terrier breeds.
 In addition, a number of breeds have diverged from these two main types of fox terrier and have been recognised separately, including the Jack Russell Terrier, Miniature Fox Terrier and Rat Terrier.
 The Wire and Smooth Fox Terriers share similar characteristics, the main differences being in the coat and markings.
 They have been successful in conformation shows, more prominently in America than their homeland.
Da kommt Kalle ("Here comes Kalle") was a German family entertainment television program depicting a Parson Russell Terrier who helps solve criminal cases and family dramas.
The Russell Terrier is a predominantly white working terrier with an instinct to hunt prey underground.
 The breed was derived from the Reverend John Russell's working terrier strains that were used in the 19th century for fox hunting.
 The Reverend's fox working strains were much smaller than the Show Fox Terrier and remained working terriers.
 The size of the Russell Terrier (10″ to 12″) combined with a small flexible, spannable chest makes it an ideal size to work efficiently underground.
 Their unique rectangular body shape with the body being of slightly longer length than the leg makes them distinctly different from the Parson Russell Terrier and the JRTCA Jack Russell Terrier.
Moose (December 24, 1990 – June 22, 2006) was a Parson Russell Terrier who portrayed Eddie Crane on the television sitcom "Frasier".
The Teddy Roosevelt Terrier is a small to medium-sized American hunting terrier.
 Lower-set with shorter legs, more muscular, and heavier bone density than its cousin the American Rat Terrier.
 There is much diversity in the history of the Teddy Roosevelt Terrier breed and it shares a common early history with the American Rat Terrier, Fox Paulistinha and Tenterfield Terrier.
 It is said the Rat Terrier background stems from the terriers or other dogs that were brought over by early English and other working class immigrants.
 Since the breed was a farm, hunting and utility dog there was little to no planned breeding other than breeding dogs with agreeable traits to each other in order to produce the desired work ethic in the dog.
 It is assumed that the Feist (dog), Bull Terrier, Smooth Fox Terrier, Manchester Terrier, Whippet, Italian Greyhound, the now extinct English White Terrier, Turnspit dog and or Wry Legged Terrier all share in the Teddy Roosevelt Terrier's ancestry.
 These early Ratting Terriers were then most likely bred to the Beagle or Beagle cross bred dogs (for increased scenting ability) and other dogs.
 Maximizing the influences from these various breeds provides the modern Teddy Roosevelt Terrier with a keen sense of awareness and prey drive, an acute sense of smell and a very high intellect.
 Although they tend to be aloof with strangers they are devoted companion dogs with a strong desire to please and be near their owners side at all times.
The Bedlington Terrier is a breed of small dog named after the mining town of Bedlington, Northumberland in North East England.
 Originally bred to hunt vermin in mines, the Bedlington Terrier has since been used in dog racing, numerous dog sports, as well as in conformation shows and as a companion dog.
 It is closely related to the Dandie Dinmont Terrier, Whippet and Otterhound.
The Jack Russell Terrier Club of America (JRTCA) is the largest Jack Russell Terrier club and registry in the world, and is the National Breed Club and Registry for the Jack Russell Terrier in the United States.