And she has plenty of stories to tell from her days travelling on some of the most congested streets outside of London.
She once sparked a flurry of calls to the emergency services when she parked up on one of the city's busiest roads to attend to a dodgy SatNav - which caused members of the public to think she was suffering a heart attack.
The former Miss Lothian 1976, who has covered more miles in the city than anyone else, said: "The biggest change as a courier is the sheer amount of traffic on the roads. It would be quite amazing to go back and see how it has all changed since day one - there was certainly less time spent waiting at traffic lights.
"One of the main problems is when they shut off the road and there is no-one working there for days. And when the work is finally finished, the next thing is they are digging it all up again.
"The pothole situation is getting worse. I have never been to the moon but I wouldn't be surprised if there are more potholes and craters on the city's roads."
Deliveries June has carried out include picking up queen of pop Madonna's wedding dress from Edinburgh Airport and returning a lost cat to its owner.
Samson the cat vanished from his home in Penicuik, Midlothian, in 2008, only to turn up more than a year later 500 miles away in Plymouth, Devon.
June delivered the flighty feline back to his delighted owner in Scotland - free of charge.
Fiona Deas, co-director of Eagle Couriers, said: "June has been here since the start of Eagle Couriers when we were just a small operation based in Edinburgh.
"She is a huge character and a pleasure to work with. It is quite staggering to think of the sheer number of miles she has clocked up, especially when you consider it is predominantly on Edinburgh's difficult streets, not motorway cruising."
June's biggest pet peeves while on the road include unexpected roadworks, changes to the one-way system and congestion hotspots such as Queen Street, John Street, Frederick Street and The Mound.
But she is also critical of plans to transform George Street into a continental-style piazza with outdoor seating for cafes and tourist parking in loading bays.
She said: "It's nice to go on holiday, but some of us have a job to do.
"I love driving and I love Edinburgh - so this job suits me to a T.
Source : http://www.heraldscotland.com/news/14546736.There_are_more_potholes_on_Edinburgh_s_roads_than_craters_on_the_moon__courier_claims/Thanks you for read my article There Are More Potholes On Edinburgh\'s Roads Than Craters On The Moon, Courier Claims