Final answer:
The statement about colonists' objections to the application of tax money rather than the principle of taxation itself is true. Colonial governors had the right to veto legislation, which is also true. However, the colonizationist scheme was unpopular among black abolitionists, making the statement that it was popular false. Lastly, the mother country did not give in to most of the American colonists' demands in the Conciliatory Proposition, which is false.
Step-by-step explanation:
The statement that colonists did not necessarily object to the principle of taxation, but rather how the tax money would be applied is true. This sentiment was a central grievance leading up to the American Revolution. Colonists were primarily concerned with the lack of representation in Parliament, which they famously articulated with the phrase "no taxation without representation." Their main argument was not against the idea of being taxed per se, but against being taxed without having a say in how those taxes were levied or used.
Colonial governors did indeed possess the right to veto legislation passed by the colonial assemblies, which is a true statement. This was part of the colonial government structure, where governors often represented the interests of the Crown and could veto laws that they or the Crown found objectionable or against imperial policies.
The colonizationist scheme of the early 1800s, which included plans such as sending freed slaves to Africa (notably Liberia), was generally unpopular among black abolitionists. Many African Americans, free or enslaved, considered themselves Americans and did not wish to 'return' to Africa, a continent many of them had never seen. Hence, the statement that this scheme proved to be popular among black abolitionists is false.
Regarding the Conciliatory Proposition, it is false that the mother country gave in to most of the demands of the American colonists. Although the proposition aimed to appease the colonies and avoid further conflict, it did not concede to the majority of colonial demands, particularly over the crucial issue of parliamentary representation and autonomy in taxation.