Question: During what years was the English Royal House, that was at one point ruled by King Henry VII, in reign? 

Context paragraphs:
Hugh Conway (Lord Treasurer): Sir Hugh Conway was created Lord Treasurer of Ireland in 1494 by King Henry VII of England.  He replaced Sir James Ormonde as Lord Treasurer of Ireland.  In 1504 he was appointed Treasurer of Calais by Henry VII ( Cal.  Pat.  Rolls Henry VIII, vol.  ii, 365).  Hugh Conway was an early supporter of Henry Tudor, Earl of Richmond (later Henry VII), was sent by Margaret Beaufort, Henry's mother to Henry, in exile in France, in 1483 with a large sum of money and encouragement to invade England through Wales and seize the crown from Richard III.  Henry did so in 1485 and Richard was killed at the Battle of Bosworth, where Hugh was present.  Hugh was appointed Keeper of the Great Wardrobe by King Henry VII on 21 September 1485, was knighted in January 1486 at the coronation of Queen Elizabeth of York, daughter of King Edward IV, and married Elizabeth Courtenay, daughter of Sir Thomas Courtenay, Earl of Devon, in 1490.  Sir Hugh Conway was appointed Sheriff of Buckinghamshire and Bedfordshire by Henry VII in 1500.  Sir Hugh was a son of John ‘ Aer Conwy Hen ’ of Bodrhyddan Hall and Constable of Rhuddlan Castle, Flintshire, Wales, by his first marriage, and descended from the ancient line of Conway (Conwy = Wales) and de Crevecouer (The Journal Of The Flintshire Historical Society (Appendix D: Conwy Pedigree (British Museum Harleian MS 1971))).  Sir Hugh's younger half-brother was Edward Conway who married the heiress of Arrow and Alcester, Warwickshire, and was great-grandfather to Edward Conway, 1st Viscount Conway of Ragley Hall, ancestor of the present family of Seymour Conways, Marquis of Hertford.

Catherine Parr: Catherine Parr (alternatively spelled Katherine or Katheryn, signed 'Katheryn the Quene KP') ( () ) was Queen of England and of Ireland (1543–47) as the last of the six wives of King Henry VIII, and the final queen consort of the House of Tudor.  She married him on 12 July 1543, and outlived him by one year.  She was also the most-married English queen, with four husbands.

Edmund Dudley: Edmund Dudley (c. 1462 or 1471/1472 – 17 August 1510) was an English administrator and a financial agent of King Henry VII.  He served as Speaker of the House of Commons and President of the King's Council.  After the accession of Henry VIII, he was imprisoned in the Tower of London and executed the next year on a treason charge.  While waiting for his execution he wrote "The Tree of Commonwealth".  Edmund Dudley was also the grandfather of Robert Dudley, 1st Earl of Leicester, a favourite of Henry VII's granddaughter, Elizabeth I.

Blanche of Lancaster: Blanche of Lancaster (25 March 1345/1347 – 12 September 1368) was a member of the English royal House of Plantagenet and the daughter of the kingdom's wealthiest and most powerful peer, Henry of Grosmont, 1st Duke of Lancaster.  She was the first wife of John of Gaunt, the mother of King Henry IV, and the grandmother of King Henry V of England.

Hugh Courtenay (died 1425): Sir Hugh I Courtenay (after 1358 – 5 or 6 March 1425), of Boconnoc in Cornwall and of Haccombe in Devon, was Sheriff of Devon for 1418/19 and was thrice elected knight of the shire for Devon in 1395, 1397 and 1421.  He was a grandson of Hugh de Courtenay, 2nd/10th Earl of Devon (1303–1377), was the younger brother of Edward de Courtenay, 3rd/11th Earl of Devon (1357–1419), "The Blind Earl", and was the grandfather of Edward Courtenay, 1st Earl of Devon (d.1509), KG, created Earl of Devon in 1485 by King Henry VII.  He was the link between the senior line of the Courtenay Earls of Devon made extinct following the Battle of Tewkesbury in 1471 (his elder brother's line) and the post-Wars of the Roses creation of a new Earldom for his grandson made in 1485 by King Henry VII.

House of Tudor: The House of Tudor was an English royal house of Welsh origin, descended in the male line from the Tudors of Penmynydd.  Tudor monarchs ruled the Kingdom of England and its realms, including their ancestral Wales and the Lordship of Ireland (later the Kingdom of Ireland) from 1485 until 1603, with five monarchs in that period.  The Tudors succeeded the House of Plantagenet as rulers of the Kingdom of England, and were succeeded by the House of Stuart.  The first Tudor monarch, Henry VII, descended through his mother from a legitimised branch of the English royal House of Lancaster.  The Tudor family rose to power in the wake of the Wars of the Roses, which left the House of Lancaster, to which the Tudors were aligned, extinct.

Earl of Richmond: The now-extinct title of Earl of Richmond was created many times in the Peerage of England.  The earldom of Richmond was initially held by various Breton nobles associated with the Ducal crown of Brittany; sometimes the holder was the Breton Duke himself, including one member of the cadet branch of the French Capetian dynasty.  The historical ties between the Ducal crown of Brittany and this English Earldom were maintained ceremonially by the Breton dukes even after England ceased to recognize the Breton Dukes as Earls of England and those dukes rendered homage to the King of France, rather than the English crown.  It was then held either by members of the English royal families of Plantagenet and Tudor, or English nobles closely associated with the English crown.  It was eventually merged into the English crown during the reign of Henry VII and has been recreated as a Dukedom.

Angevin kings of England: The Angevins ("from Anjou") were an English royal house in the 12th and early 13th centuries; its monarchs were Henry II, Richard I and John.  In the 10 years from 1144, two successive counts of Anjou, Geoffrey and his son, the future Henry II, won control of a vast assemblage of lands in western Europe that would last for 80 years and would retrospectively be referred to as the Angevin Empire.  As a political entity this was structurally different from the preceding Norman and subsequent Plantagenet realms.  Geoffrey became Duke of Normandy in 1144 and died in 1151.  In 1152 his heir, Henry, added Aquitaine by virtue of his marriage to Eleanor of Aquitaine.  Henry also inherited the claim of his mother, Empress Matilda, the daughter of King Henry I, to the English throne, to which he succeeded in 1154 following the death of King Stephen.

Edward Belknap: He fought for Henry VII at the battles of Stoke Field and Blackheath and possibly at other battles as well.  In 1508, he was appointed to the post of "surveyor of the King's prerogative".  This office gave him the power to appropriate the lands and property of anyone who had violated the king's prerogative in some way, such as conviction for a felony.  Belknap's appointment was part of an effort by Henry VII to improve the royal finances.  Belknap was a privy councillor for both Henry VII and Henry VIII.  In 1520, he was most probably at the Field of the Cloth of Gold with Henry VIII.

The Royal House of Boureh Gnilane Joof: The Royal House of Boureh Gnilane Joof (variation : Mbin Boureh Gnilane in Serer) was a royal house founded in the 14th century by Jaraff Boureh Gnilane Joof (var : "Bouré Gnilane Diouf" or "Buré Ñilaan").  He was a member the Serer tribe, from the pre-colonial Kingdom of Sine now part of independent Senegal.  It was the first royal house founded by the Joof family during the Guelowar period (1350 - 1969).  Boureh Gnilane Joof was a royal prince and a Jaraff (var : "Diaraf"), a with the powers of a Prime Minister.  He was neither a Maad a Sinig (king of Sine) nor a Maad Saloum (king of Saloum) but a royal prince who had the title "Jaraff" bestowed upon him by his cousin and brother-in-law - Maad a Sinig Diessanou Faye (king of Sine).  His father Maad Patar Kholleh Joof (the conqueror) was the king of Laa and Teigne of Baol (king of Baol).  Boureh's brothers were the first from this house to have succeeded to the throne of Sine during the Guelowar period.  His name was adopted in his honour to refer to the first royal house founded by the Joof family during this dynastic period.  The Joof family of Sine, from this royal house also ruled in the Kingdom of Saloum (the Joof paternal dynasty of Sine and Saloum) The Joof family also ruled in Baol (the Joof paternal dynasty of Baol).  From the date of its foundation up to the abolition of the Serer monarchies of Sine and Saloum in 1969, at least ten kings from this house had succeeded to the throne of Sine.  As the first royal house of Sine founded by the Joof family in this dynastic period, the Royal House of Boureh Gnilane Joof holds great significance in Senegambian, Joof family and , because all the subsequent royal houses founded by the Joof family (who ruled in three Senegambian kingdoms) branched out from this royal house.

Supporting paragraphs: Catherine Parr House of Tudor
Answer: 1485 until 1603