Wikipedia: The word boycott entered the English language during the Irish "Land War" and is eponymously derived from the name of Captain Charles Boycott, the land agent of an absentee landlord, Lord Erne, who lived in Lough Mask House, near Ballinrobe in County Mayo, Ireland, who was subject to social ostracism organized by the Irish Land League in 1880.
Bingo! Doesn’t surprise me. Either the writers are ignorant, they don’t have a good historical consultant, or they are trying to make the dialog relevant to the 21st century. Or maybe all three.
1764 - In May, at a town meeting in Boston, James Otis raises the issue of taxation without representation and urges a united response to the recent acts imposed by England. In July, Otis publishes "The Rights of the British Colonies Asserted and Proved." In August, Boston merchants begin a boycott of British luxury goods.1765 - In December, British General Thomas Gage, commander of all English military forces in America, asks the New York assembly to make colonists comply with the Quartering Act and house and supply his troops. Also in December, the American boycott of English imports spreads, as over 200 Boston merchants join the movement.
1766 - In April, news of the repeal of the Stamp Act results in celebrations in the colonies and a relaxation of the boycott of imported English trade goods.
1767 - In June, The English Parliament passes the Townshend Revenue Acts, imposing a new series of taxes on the colonists to offset the costs of administering and protecting the American colonies. Items taxed include imports such as paper, tea, glass, lead and paints. The Act also establishes a colonial board of customs commissioners in Boston. In October, Bostonians decide to reinstate a boycott of English luxury items.
1774 - May 12, Bostonians at a town meeting call for a boycott of British imports in response to the Boston Port Bill. May 13, General Thomas Gage, commander of all British military forces in the colonies, arrives in Boston and replaces Hutchinson as Royal governor, putting Massachusetts under military rule. He is followed by the arrival of four regiments of British troops.
Source. Lot of other sources on the web give the same history.