Final answer:
The significant figure support William of Normandy had, also known as William the Conqueror, was from Harold Godwinson through a disputed pledge of fealty. William of Orange had support from English political figures, the 'men of the best interest', to invite him to invade England to rescue the nation and religion.
Step-by-step explanation:
The question refers to multiple historical figures named William who had support from significant figures. Firstly, William of Normandy, also known as William the Conqueror, had feudal support as depicted through his claim that Harold Godwinson pledged fealty to him. Harold, a powerful Anglo-Saxon noble and later the king of England, is contested to have agreed to support William's future claim to the English throne, which was one of the justifications used for William's invasion and conquest of England in 1066.
Secondly, William of Orange, who invaded England in the Glorious Revolution of 1688, had the support of various English political figures who opposed James II. These were the 'men of the best interest' who invited William to England to 'rescue the nation and religion'. His invasion was part of a larger geopolitical strategy to involve England in his war against Louis XIV's France, and it was believed that a free Parliament would be more likely to support this war.
These examples illustrate the strategic alliances and support required by these prominent historical figures, William of Normandy and William of Orange, to achieve their goals of conquering and ruling England respectively.