History of Famous Jewels and Collections: Re: Royal Family Order of Elizabeth II, 1952

Did Princess Alice, Countess of Athlone receive her type 2 size badge of Queen Elizabeth II's family order at Christmas 1952? Were there six size two badges initially made, not five? She definitely wore one at the 1953 coronation along size her size 4 badge of the George V family order and the size 1 badge of the V&A she received permission to wear after her mother's death.

You can really see the difference between the size two ERII badge and the size four GV badge.

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The original recipients of the order are listed as

Size 2:
Princess Alice, Countess of Athlone (great-aunt of Elizabeth II)

I note that the above number eight, while the quote below lists seven, two large and five smaller badges being made. All seven were worn at the 1953 Coronation.

After Queen Mary's death, her size one badge was worn by Princess Margaret. Were there eight badges made? Or was one, possibly Princess Alice Countess of Athlone, given Princess Margaret's size two badge after Queen Mary's death?

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"The Family Order of Queen Elizabeth II is suspended from a yellow silk watered ribbon the same size width of her father's order, and has been made in two sizes. The larger size was given to Queen Mary and Queen Elizabeth the Queen mother. These and five smaller badges were given at Christmas 1952."
Risk, James; Pownall, Henry; Stanley, David; Tamplin, John (2001). Royal Service (Volume II) . Lingfield, Surrey: Third Millennium. pp. 36.