Was “Isaiah the prophet” referred to as “Isaiah the prophet” in Isaiah’s day?
Yes. If he had not been seen as a prophet they would not have bothered to preserve his words. It was a major expense to do so.
Oh I see the point o your question now. He was identified as the prophet Isaih in the book of Isaih. So again yes, in writing anyway he was being called a prophet.
Incidentally, I am pretty sure that Isaiah is *already* better-documented than any other personage of the 8th century BC., such as the Greek artist Bularchus and the 23rd Dynasty Egyptians, whose existence is never flat-out denied as some ignoramuses deny biblical-histoical figures.
In the Book of Isaiah it seems he was mostly referred to as “Isaiah the son of Amoz”. But he was referred as Isaiah the Prophet twice.
Chapter 37:2 And he sent Eliakim, who was over the household, and Shebna the scribe, and the elders of the priests covered with sackcloth, unto Isaiah the prophet the son of Amoz.
Chapter 39:3 Then came Isaiah the prophet unto king Hezekiah, and said unto him, What said these men? and from whence came they unto thee? And Hezekiah said, They are come from a far country unto me, even from Babylon.
Prophets were known during their own times and judged on the accuracy of their visions. Anyone who professed to be one but whose prophesies turned out to be inaccurate could be subject to death. In the case of Isaiah he was counselor to the royal court of Judea and would have been a well known figure during his own lifetime.
Was “Isaiah the prophet” referred to as “Isaiah the prophet” in Isaiah’s day?
Yes. Hezekiah leaned on him for advice and understanding of future events.
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Yes! - That is why they sawed him in half.
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Well, they used to call him “Isaiah the Pottery Delivery Boy” when he was a kid, but that was just a part-time summer gig.