"I recall one day I'll never forget, I heard someone say, 'Where is this young lady who handles the phone?' And finally I looked up, and there he was -- Dr. King -- and he said, 'I want to meet this young lady. She has put me on the hold twice, and hung up on me once, and I want to know who she is.' "
Worthy said she was "so embarrassed," but then the civil rights icon gave her a hug.
By the day of the march, she was so tired, she dozed off and accidentally slept through the historic march and the "I Have a Dream" speech.
Everything worked out for her in the end: Worthy had a successful legal career and now teaches law at Howard University.
Another hitchhiked all the way from Alabama only to have MLK check in on him
Robert Avery and two of his friends hitchhiked nearly 700 miles from Gadsden, Ala., to Washington to participate in the march.
Avery, who was 15 years old at the time, was no stranger to the dark side of the civil rights movement. A few months earlier, he was struck by a cattle prod wielded by Alabama police during anti-segregation demonstrations in Gadsden.
The three youths arrived in the nation's capital a week before the march after three days of hitchhiking, and they were put to work making signs for the event.
At one point, King walked in and asked for them. He had been in Gadsden the night before, and their parents had asked the civil rights leader to check on them.
King sat down with the three and talked to them for about 20 minutes, asking them about their dreams, Avery later recalled.
'I Have a Dream' beat JFK's 'Ask not what you can do' speech
There's no doubt that King's speech was the most memorable part of the March on Washington. It's still taught in school, and memorized by children, half a century later.
But how does it compare against other pivotal speeches by 20th century leaders, such as John F. Kennedy or Franklin D. Roosevelt?
Well, a panel of more than 130 scholars got together in 1999 to rate the best speeches of the 20th century and King's speech ranked No. 1.