Question: Did the Sealyham Terrier and Great Dane breeds originate from the same country?

Context paragraphs:
Barberryhill Bootlegger: Ch.  Barberryhill Bootlegger was a Sealyham Terrier and the 1924 best in show winner at the Westminster Kennel Club Dog Show.  He was born December 31, 1920, to breeder and owner Bayard Warren, in Pride's Crossing, Massachusetts.  This was the first Westminster held under the newly revised rules for judging group and best in show winners.  Paul E. Lockwood described the dog as "a Massachusetts Yankee of backwoods stock" Walter H. Reeves, who judged the show along with Norman Swire, said that Bootlegger "comes very close to perfection ... [he] is beautifully built, teems with type and moves like a piece of machinery."  Bootlegger had previously drawn attention at an all-terriers show held by seven major American breed clubs, where he was the top American bred dog.

Great Dane: The Great Dane is a large German breed of domestic dog known for its giant size.  The German name of the breed is "Deutsche Dogge", or German Mastiff.  The French name is "Dogue Allemand."

Teddy Roosevelt Terrier: 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.

Kerry Blue Terrier: The Kerry Blue Terrier (also known as the Irish Blue Terrier) () is a breed of dog.  Originally bred to control "vermin" including rats, rabbits, badgers, foxes, otters and hares, over time the Kerry became a general working dog used for a variety of jobs including herding cattle and sheep, and as a guard dog.  Today the Kerry has spread around the world as a companion and working dog.  Despite a Kerry Blue winning Crufts (the most important UK dog show) in 2000, it remains an "unfashionable" breed, and is distinctly uncommon; however, it not as threatened as some of the other terrier breeds such as Skye Terrier, Sealyham Terrier, and Dandie Dinmont Terrier.

Efbe's Hidalgo At Goodspice: Ch.  Efbe's Hidalgo At Goodspice (born May 19, 2004), also known as Charmin, is a male Sealyham Terrier who was the Best in Show at the American Kennel Club National Championship in 2007, World Dog Show in 2008, and Crufts in 2009.  He also won the Terrier Group at the Westminster Kennel Club dog show in 2008.

Titan (dog): Titan (2005 – 31 March 2010) was an American male white Great Dane who was a holder of the Guinness World Record as the world's tallest dog.  His official height was 107.3 cm from the floor to his shoulder.  The previous holder was another Great Dane, Gibson who measured 107.2 cm , and died in August 2009.  During the nomination process, Titan, who suffered from several health conditions, fought off competition from a Newfoundland from North Dakota and another Great Dane, from Arizona.  On February 22, 2010 Titan was dethroned as world's tallest dog by Giant George, a Great Dane from Arizona.

Mastiff: Mastiff type means a large molosser dog.  The term "mastiff type" has been used synonymously with the term "molosser".  For example, the bulldog breeds, the Great Dane, the mountain dogs, the pit bulls and even smaller dogs such as the Boston terrier, may be considered "mastiff types" in this broad sense.  The descriptive term, mastiff type, should not be confused with the breed, the Mastiff.  All breeds are individual and should be referred to by their breed name to ensure correct identification.

Sealyham Terrier: The Sealyham Terrier is a rare Welsh breed of small to medium-sized terrier that originated in Wales as a working dog.  It is principally a white-bodied, rough coated breed, developed in the mid to late 19th century by Captain John Edwardes at Sealyham House, Pembrokeshire.

Sealyham House: Sealyham Mansion, overlooking the little River Sealy, is a Georgian country house in Pembrokeshire, Wales, near Wolfscastle and to the southeast of Letterston.  Known for the creation of the Sealyham Terrier there in the 1800s, the house served as a sanatorium and medical facility from 1923 to 1964.  Since 1986 it has been a children's activity centre.

Fox 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.

Supporting paragraphs: Sealyham Terrier Great Dane
Answer: no