WikiTree.com says her father is John Meadows, however, no information is given for him

Dorothy could be a sister of ancestor Sarah Meadows that married Thomas Sanford. Dorothy was likely was the first marriage of Thomas Sanford and they had one child, Ezekiel before she died. Ezekiel is not known to be an ancestor thus Dorothy is not an ancestor. Dorothy's sister Sarah also married Thomas Sanford. They had several children including ancestor Sarah that married Richard Shute. 
The information across several sources are close but somewhat different in some varying ways. Some say instead of Dorothy and Sarah being sisters that there was one lady named Sarah Dorothy. Others have Dorothy and Sarah married to the same Thomas Sanford and both died in 1681. And some sources have Sarah married to Thomas Shute and/or instead of Thomas Sanford.

Historical
1607: Ireland - Flight of the Earls (the fleeing of most of the native Gaelic aristocracy) occurs from County Donegal in the west of Ulster in Ireland
1607: United States - Jamestown, Virginia, is settled as what would become the first permanent English colony in North America
1608: Canada - Quebec City founded by Samuel de Champlain in New France (present-day Canada)
1609: Germany - Maximilian of Bavaria establishes the Catholic League
1609: Netherlands, Spain - The Netherlands and Spain agree to a Twelve Years Truce in the Eighty Years War
1609: United States - Pedro de Peralta, a later governor of New Mexico, establishes the settlement of Santa Fe
1610: France - King Henry IV of France is assassinated and is succeeded by his nine year old son, King Louis XIII who rules until 1643
1610: Poland, Lithuania, Russia, Sweden - Battle of Klushino, the Polish Lithuanian Commonwealth army defeats combined Russian-Swedish forces and conquers Moscow
1612: England - King James version of the Bible is published
1613-1617: Poland, Lithuania - Polish-Lithuanian Commonwealth is Invaded by the Tatars (or Tartars) dozens of times
1613: Russia - The Time of Troubles in Russia ends with the establishment of the House of Romanov which rules until 1917
1613: United States - Pochahontas marries John Rolfe
1616: England - William Shakespeare dies
1616: Spain - The last remaining Moriscos (Moors who had nominally converted to Christianity) in the Spain are expelled
1618-1638: Germany - The Bohemian Revolt precipitates the Thirty Years War which devastates Europe in the years 1618-1648
1618: China - The Manchus start Invading China, their conquest eventually topples the Ming Dynasty
1618: Romania - Bethlen Gabor, Prince of Transylvania, joins Protestant Rebels
1619: Austria, Romania - Bethlen Gabor is defeated outside Vienna
1620-1621: Poland, Turkey - Polish-Ottoman War over Moldavia
1620: Poland - Battle of White Mountain, Emperor Ferdinand II, Holy Roman Emperor, defeats the Bohemian rebels
1620: Romania, Turkey - Bethlen Gabor allies with the Ottomans and an Invasion of Moldavia takes place, the Polish suffer a disaster at Cecora on the River Prut
1620: United States - The Puritan Pilgrims arrive in the Mayflower at Cape Cod
1621: Poland, Turkey - The Battle of Chocim Poles and Cossacks under Jan Karol Chodkiewicz defeat the Ottomans
1621: United States - The Pilgrims celebrate the first Thanksgiving with their Indian neighbors
1622: United States - Jamestown massacre Algonquian natives kill 347 English settlers outside Jamestown, Virginia (a third of the population of the colony) and burn the Henricus settlement
1623: Italy - Maffeo Barberini is elected Pope Urban VIII at the Papal conclave of 1623
1624-1642: France - As chief minister, Cardinal Richelieu centralises power in France
1625: United States - New Amsterdam founded by the Dutch West India Company in North America
1626: Italy - St. Peters Basilica in the Vatican completed
1626: United States - The Dutch buy Manhattan Island for $24, a presence is established but no large settlements made
1627: France - Cardinal Richelieu lays siege to Protestant La Rochelle which eventually capitulates