Conversation so far:
What is Fats Domino's most famous song?
Fats Domino and producer Dave Bartholomew wrote The Fat Man; the record had sold a million copies by 1951.
When did Fats Domino leave Imperial?
Imperial Records was sold in early 1963, and Fat Domino left the label.
Where did Fats Domino go after he left Imperial Records?
Fats Domino continued to record steadily until about 1970, leaving ABC-Paramount in mid-1965 and recording for Mercury Records.
What songs did Fats Domino release through Mercury Records?
Fat Dominp delivered a live album and two singles.
Did Fats Domino win any awards?
In 1986 Fats Domino was one of the first musicians to be inducted into the Rock and Roll Hall of Fame. He also received the Grammy Lifetime Achievement Award in 1987.

Question: Was he very famous during this time?
Self-contained rewrite: Was Fats Domino very famous during the 1980s?