In 1987, President Ronald Reagan recognized Eure as having held public office longer than any official in the nation at that time, with more than 64 years of continuous service.

During his tenure as Secretary of State, Eure was asked by Highway Patrol leadership to give the swearing-in oath of office to graduating troopers in each basic school class at the North Carolina Highway Patrol School, which was first conducted at UNC-Chapel Hill and later in Raleigh at the present campus on Garner Road.

Eure would proudly address each class and he signed each individual trooper's oath certificate in his trademark green ink.

When his physical condition weakened in 1985, then-North Carolina Governor James G. Martin assigned a trooper to drive Eure to and from work each day.

Eure requested a special meeting with the body, where he told them, "I am fearful that you may be jeopardizing the beautiful picture toward which we are moving".

Eure Jr was a famous restaurateur in Raleigh, North Carolina, founding the legendary steakhouse The Angus Barn, reviving the 42nd Street Oyster Bar and being responsible for the Darryl's and Fat Daddy's chains.