The name "Eve Channing" is derived from the names of Eve Harrington and Margot Channing, the two main characters in Joseph L. Mankiewicz's All About Eve (1950).
Eve Channing is not a real actor. "Her" credit is one of several fake names listed in the credits of Sleuth (1972) in order to hide from the audience that Laurence Olivier and Michael Caine make up the whole cast.