Earle of Leicester had two children by the Queen

-from Society of Antiquaries of London, v. 4, 1856, p. 266
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After the 1563 letter cited above there is another instance on this subject:
Marsham said that the Earle of Leicester had two children by the Queen.  -in "Account of the Traitours condemned at Norwich Assises in Aug. 1570", showing a Letter to George Earl of Shrewsbury dated at London last of Aug. 1570--this in British Museum; see https://books.google.com/books?id=5UAuAAAAMAAJ&pg=PA76&lpg=PA76&dq=marsham+letter+to+earl+of+shrewsbury+august+1570&source=bl&ots=6EDw-e_0kJ&sig=qRDp0ga4uS9UgR4eAkUk9VJIQIs&hl=en&sa=X&ved=0ahUKEwjrr_XLqZbKAhVK6mMKHXPaA64Q6AEIHTAA#v=onepage&q=marsham%20letter%20to%20earl%20of%20shrewsbury%20august%201570&f=false