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The Old Lady reasons that Anne would surely want to be a queen since she is a woman, and women want power and money. Apparently no great fondness for Henry is required, as the Old Lady says she would become queen for a few farthings. Clearly the Old Lady has no great opinion of the forces driving women, though having worked in the court for so long may have given her a skewed sense of what those forces are.
Lord Chamberlain's assessment of Anne is simply that he thinks she may help bring a "gem" to England, referring again to the birth to come of the future Queen Elizabeth, the point toward which the whole play drives.
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