adonai or adonay is simply our English tongue pronouncing the Hebrew word for Lord.
For example in Deut. 3:24, Adonai (Lord) is used referring to God- Jehovah. The word lord - adown - is used when referring to people as in a master. In Gen. 23:6, Sarah uses it referring to Abraham. In the KJV, Jehovah is written as LORD, adonai is written as Lord and adown is written as lord. At least that is what I learned.