Freedom is covered under 'Liberty"
Happiness covers natural rights--omnibus of everything else.
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An alternative phrase "life, liberty, and property", is found in the Declaration of Colonial Rights, a resolution of the First Continental Congress. The Fifth Amendment and Fourteenth Amendment to the United States Constitution declare that governments cannot deprive any person of "life, liberty, or property" without due process of law. Also, Article 3 of the Universal Declaration of Human Rights reads, "Everyone has the right to life, liberty, and security of person."
That all men are by nature equally free and independent, and have certain inherent rights, of which, when they enter into a state of society, they cannot, by any compact, deprive or divest their posterity; namely, the enjoyment of life and liberty, with the means of acquiring and possessing property, and pursuing and obtaining happiness and safety.
Benjamin Franklin was in agreement with Thomas Jefferson in downplaying protection of "property" as a goal of government. It is noted that Franklin found property to be a "creature of society" and thus, he believed that it should be taxed as a way to finance civil society.[7] The United States Declaration of Independence, which was primarily drafted by Jefferson, was adopted by the Second Continental Congress on July 4, 1776. The text of the second section of the Declaration of Independence reads:
We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness.
An analysis of Jefferson's use of this phrase was provided by Garry Wills, in his book Inventing America: Jefferson’s Declaration of Independence.[8] While arguing against the commonly held belief that Jefferson took this phrase - but lightly - from Locke's "life, liberty, and property", Wills also argues against the belief that Jefferson was merely offering some vapid nicety, to which the government could not be held to account:
When Jefferson spoke of pursuing happiness, he had nothing vague or private in mind. He meant a public happiness which is measurable; which is, indeed, the test and justification of any government.''
en.wikipedia.org
