The television programme also sees the Queen, who celebrates the 65th anniversary of her coronation this year, speak of her mischievous children, a lost sceptre, and of wearing a dress that was so heavy, she was unable to walk.
The Queen has discussed memories of her Coronation in 1953, divulging how heavy and quite impractical the crown is.
The Queen, who spent the war years at Windsor for safety, had known of the general story but was unaware of the details until they were revealed to her told by the programme's presenter, royal commentator Alastair Bruce.
"Fortunately, my father and I have about the same sort of shaped head", the Queen says in part of the interview about the crown's fit. But once you put it on, it stays. "I mean, it just remains itself".
The Queen also points out that the Imperial State Crown, worn by her for her speech during the state opening of parliament, and, has been reduced in height since her father King George VI wore it. "Because if you did, your neck would break and it (the crown) would fall off", she said while smiling.
The keepers of the royal things were a little anxious about all the important crowns and stuff going missing or getting bombed during the second world war, hence the most important elements of the Crown Jewels were taken from their position in the Tower of London and hidden away.
The Queen gets lyrical over the four pearls, said to have been Queen Elizabeth I's earrings, hanging from the State Crown, which look "not very happy now".
The documentary also features informal footage taken behind the scenes, including images of son and heir Prince Charles, then aged four, and his younger sister Anne playing underneath the queen's long robe.
Queen Takes Train 175 Years After 1st Royal Ride
The Queen acceded to the throne on 6 February, 1952 when her father died unexpectedly in his sleep at Sandringham in Norfolk.
Mr Bruce was able to "gently" nudge the Queen to elicit further insights which "worked very well" during the 90-minute encounter, which he described as a "conversation".
"The Crown" on Netflix introduces Queen Elizabeth's Christian faith as well as her close relationship with world renowned evangelist Billy Graham.
If she has never officially given an interview, The Coronation is as close the Queen will ever come to displaying a hitherto unseen chat-show persona.
"Not what they're meant to do", the Queen notes.
The story of how the service, which lasted almost three hours, was briefly brought to a standstill has emerged in The Coronation, to be broadcast on BBC One on Sunday.
The Queen riding in the Gold State Coach after her Coronation.
In the U.S., The Coronation will air on the Smithsonian Channel January 14 at 8 p.m. ET/PT.