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Star Heraldry Museum Collection may refer to:
A specific museum collection related to heraldry, likely associated with an institution or named series containing heraldic items.
The heraldic use of stars (mullet/star/estoile) as charges and motifs, which museums commonly catalogue as part of heraldry collections.
A general category of museum collections focused on heraldry (coats of arms, visitations, rolls, insignia), which could be what the phrase is referring to.