Final answer:
The House of Burgesses was the first legislative assembly in North America, part of Virginia's governance, while the Mayflower Compact was the foundational document for self-governance of the Plymouth Colony. The founder incorrectly paired with New Haven is William Brewster. Colonial assemblies expanded their power in the eighteenth century.
Step-by-step explanation:
The question deals with the historical documents and practices related to the early governance of English colonies in North America. The House of Burgesses was the first legislative assembly of elected representatives in North America, established by the Virginia Company and forming part of the government of the colony of Virginia. The Mayflower Compact was a document created by the Pilgrims upon their arrival in what is now Massachusetts, which outlined the principles of self-governance for the Plymouth Colony. Over time, as the colonies grew, both the House of Burgesses and Plymouth's government structure expanded in complexity and representation.
The question regarding the founders and colonies asks to identify a mismatch between a founder and the colony they are associated with. The incorrect pairing is William Brewster/New Haven. William Brewster is associated with the Plymouth Colony, not New Haven.
During the eighteenth century, while under British rule, colonial assemblies expanded their power and influence, a fact which played a crucial role in the colonies' movement towards independence and the founding of the United States.