I found a Judith Thomas buried on 25 April 1588 in London, daughter of William Thomas. Could this be the Judith Thomas baptized in 1568, daughter of William Thomas?
If so, the Judith Thomas who married James Feake in 1592 would have been a different Judith Thomas whose baptism is simply unknown (perhaps more likely between 1570 and 1575).
1588 burial record source: "England Deaths and Burials, 1538-1991," database, FamilySearch(https://familysearch.org/ark:/61903/1:1:JC96-82S : 10 February 2018), Judith Thomas, burial 25 Apr 1588; citing St. Botolph Aldgate, London, England, index based upon data collected by the Genealogical Society of Utah, Salt Lake City; FHL microfilm 370,925.