TFPL, Dec 2005: The History of Parliament says that she and Francis had three daughters who m. Sir Edward Atkyns, Sir Philip Meadowes and Sir Samuel Eyre, but named none of the daughters. As yet I do not know the first daughter who m. Atkyns.
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September 2011, TFPL: The unknown daughter is Elizabeth (Parl Trust, Edward Atkyns article):
“
ATKYNS, Edward (c 1630-98), of Hensington, Oxon. and South Pickenham, Norf.1647, called 1653. m. 9 Dec. 1656, Elizabeth, da. and coh. of
Francis Lucy of the Strand, ... 1656, Elizabeth, da. and coh. of
Francis Lucy of the Strand, Westminster, 2s. 7da. suc. fa. ...”