MiNeum71, in #23 you wrote: "it's important to agree on meanings of words". The problem with that claim is that English words are used by many speakers all over the world and individual speakers don't necessarily agree on precisely what words mean. They typically will agree on the general meaning of a word, but there will be differences as to exact word use. Selkie and I are both native speakers of American English, but we don't use all words in the same way. We don't need to in order to communicate. Should misunderstandings arise, we can clarify things, but it is fallacious to assume that it is possible to nail down the precise meanings of words in order to avoid misunderstandings. And even if one could fix language in this way, language changes, so 10 years from now our definitions would be off again for some words.
Also, your attempts to define the words narrowly miss the point, I'm afraid. Consult a dictionary, such as the OALD, and you will see from the definitions (there are more than one after all because words refuse to be pinned down to one "agreed upon" definition) that
interrupt sb/sth = 1. to say or do sth that makes sb stop what they are saying or doing, 2. to stop sth for a short time.
disturb = 1. to interrupt sb when they are trying to work, sleep, etc.; 3. to make sb worry
bother = 2. bother sb (about / with sth) to annoy, worry or upset sb; 3. to interrupt sb; to talk to sb. when they do not want to talk to you.
There is a great deal of overlap here and I think your attempts to tease the words apart in their core meanings will fail. You would have more success distinguishing among the words with respect to other aspects of their meaning, such as "can't be bothered (to do sth)" = used to say that you do not want to spend time and/or energy doing something. In this meaning only bother works; disturb and interrupt don't, as I mentioned in #5.