Laura Moore [Betty's great granddaughter] "feared that the record of this family was lost as it was not found among the papers of Emily Moore [Betty's granddaughter]" but she gave Betty's name.

Recording of the marriage intentions on May 07, 1763 for David Moore of Bolton and Betty Whitcomb of Lancaster, both towns being in Worcester county Massachusetts. The marriage intentions of five others of the Moore family, the grooms all residents of Lancaster, are also listed on this page. There appears to have been at least three girls named Betty/Elizabeth Whitcomb born between April and September 1743/44. One was born in Lancaster to Hezekiah and Rachel Whitcomb and married David Moore in 1763 in Lancaster (the marrige entry says she is from Lancaster whereas he is from Bolton). Another was born in Bolton to David Whitcomb and Elizabeth Betty White and married Abel Moore in Bolton in 1764. A third one was also born in Bolton to Israel Whitcomb and Azubah Houghton and married Jeams Flood in Bolton in 1764. The first one, daughter of David and Rachel, is believed to be the ancestor here. 
Also see the Abel Moore, son of Joshua Moore and Elizabeth Sawyer, he also married a Betty Whitcomb on the same day and had the same children. Also see Betty Whitcomb, daughter of Israel Whitcomb and Azibah Houghton.

Historical
1744-1748: France, India - The First Carnatic War fought between the British, the French, the Marathas, and Mysore in India
1744: France - French attempt to restart the Jacobite rebellion fails
1744: Saudi Arabia - The First Saudi State is founded by Mohammed Ibn Saud
1745: England, Scotland - Second Jacobite Rebellion began by Charles Edward Stuart in Scotland
1745: United States - John Jay born
1747: Afghanistan - Ahmed Shah Durrani founded the Durrani Empire in modern day Afghanistan
1748-1754: England, France, India - The Second Carnatic War fought between the British, the French, the Marathas, and Mysore in India
1748: Austria - Treaty of Aix-La-Chapelle ends the War of the Austrian Succession and First Carnatic War
1748: United States - Benjamin Franklin retires from the printing business to pursue scientific matters
1750: Europe - Peak of the Little Ice Age [first suggested in 1939, this has since been disputed after more detailed research] that lasts another one hundred years
1751: United States - Jamaes Madison born
1752: United States - Benjamin Franklin discovers electricity with his famous kite flying experiment which was done in secrecy at the time. Later that same year he invents the lightning rod, one of the most perfect inventions because it continues to do its job without maintenance. It is still being used today by every tall building in the world.
1753: United States, France, England - Major George Washington, age 21, delivers a message to the French from the English King asking the French to leave North American, the French politely refuse
1754-1763,: United States, France, England - The French and Indian War, Fought in the U.S. and Canada mostly between the French and French allies and the English and English allies, the North American chapter of the Seven Years War
1754: India - Treaty of Pondicherry ends Second Carnatic War (of three) and recognizes Muhammed Ali Khan Wallajah as Nawab of the Carnatic
1755-1763: Canada - The Great Upheaval, forced population transfer of the French Acadian population from Nova Scotia and New Brunswick
1755: Portugal - The Lisbon earthquake
1756-1763: France, India - The Third Carnatic War fought between the British, the French, the Marathas, and Mysore in India
1756-1763: globe - Seven Years War fought among European powers in various theaters around the world
1757: India - Battle of Plassey signaled the beginning of formal British rule in India after years of commercial activity under the auspices of the East India Company
1758: England - British colonel James Wolfe Issues the Wolfe Manifesto
1758: United States - James Monroe born
1759: France, England - French commander Louis-Joseph de Montcalm and British commander James Wolfe die during the Battle of the Plains of Abraham
1760: England - George III became King of Britain
1760: Iran - Zand dynasty founded in Iran
1761: France, India - Battle of Panipat, France defeats Maratha Empire
1762-1796: Russia - Reign of Catherine the Great of Russia
1763: India - Treaty of Paris ends Seven Years War and Third Carnatic War
1763: Omdoa - Kingdom of Mysore conquers the Kingdom of Keladi
1765: United States, England - Stamp Act Introduced into the American colonies by the UK Parliament
1766-1799: India - Anglo-Mysore Wars
1767: Burma - Burmese conquered the Ayutthaya kingdom
1768-1774: Russia, Turkey - Russo-Turkish War (sixth of ten), Russian victory
1768: Nepal - Gurkhas conquered Nepal