Final answer:
The claim regarding Colonel George Washington's attempt to oust the French from their forts in 1754 is true. Washington's defeat at Fort Necessity began the series of events that would escalate into the French and Indian War.
Step-by-step explanation:
The statement "The first attempt of the British colonists to eject the French from their forts occurred in 1754 under the military leadership of a colonel named George Washington." is true. In 1754, as the British and French were vying for control of North America, George Washington led an expedition against the French at Fort Necessity in the Ohio River Valley. His forces constructed the quickly built fort after attacking the French, but the French and their Native American allies forced Washington to surrender.
Subsequent British military efforts included General Edward Braddock's failed campaign to take Fort Duquesne in 1755, which resulted in his death and a significant defeat for the British. Over time, George Washington's military role would evolve, eventually leading him to become the commander in chief of the Continental Army during the American Revolutionary War, where he used the Fort Ticonderoga cannons to force the British evacuation from Boston.