Answer:
I have never heard the phrase "being" verbs used in English, but there is one important verb, "to be' . It is only one verb but it has all the tenses and is irregular:
Present tense
I am we are
thou art( archaic) you are
he, she, it is they are.
Past tense
I was we were
thou wast (archaic) you were
he. she, it was they were
Future:
I shall be we shall be
thou wilt be (archaic) you will be
he, she , it will be they will be
The past participle is been , but other than that the conjugation is regular,
eg. I have been, I had been. I shall have been,etc.