Hi, I commented on the profile in January after finding no evidence for her but didn't have any feedback from the PM who mentioned working on her. This is a well known family.
The father's will mentions the four living daughters, Bacon, Russell, Killigrew and Burghley.
His daughter Margaret was already dead.
Here's a more direct link to the will (not quite sure why I referenced the index page in the comment) As you can see, the article accompanying it has reference to its sources http://www.oxford-shakespeare.com/Probate/PROB_11-59%20f%2072.pdf
Why would he omit a daughter who was apparently still living?
(and where is Kent Manor?)
It might be worth researching Alice's husband Andrew Reade 'Oflugershallhall' in Hampshire. There was an Andrew Reade, rector of Ludgershall who was described as being "an idle and simple man who neglected to preach." and ejected from his living, but he was living a century later.http://www.british-history.ac.uk/vch/wilts/vol15/pp119-135
But there was an Andrew Reade at Linkenholt in the right period
(obviously the references in this article can be followed up)
Henry VIII granted Linkenholt to his favourite Thomas Lord Wriothesley, who in July obtained licence to alienate it to Richard Reade. ( The latter sold it almost immediately to John Cheyne, who dealt with it by fine in 1553. In 1585, by fine between Vincent Coventry and Thomas Cheyne on the one side, and John English ( and Elizabeth his wife, Andrew Reade and William Handforte on the other, Thomas Cheyne granted the manor to Andrew Reade to hold for sixty years at a rent of £10 10s., with reversion to Edward Hungerford and John Gwyllyn. In 1600 Andrew Reade settled Linkenholt upon his son Robert, who died seised in 1627, leaving a son and heir Andrew, who, two years later, sold it to Emanuel Badd for £2,000
see also http://www.british-history.ac.uk/vch/hants/vol4/pp314-318 (Faccombe, Hampshire)
Andrew Reade of Faccombe's will prob 1623 should be on Ancestry
But so far have only found internet trees with his wife's name