Sharon Doubell
Since this fake connection exists on almost every online resource, I suppose it would be nice if we provided as many sources as possible about this. Perhaps this will help the researchers of Dennу's genealogy not choose the wrong path.
It seems that we can provide more or less reliable dates for George Arderne beyond the date of his marriage sourced by "England Marriages, 1538–1973 ", database, FamilySearch.
Important information from SUSSEX ARCHEOLOGICAL COLLECTION VOL 100, P. 132 is quoted here (unfortunately this publication is not available online):
Kyme Family of Lewes: Ralph Chantler, in 1596 as second wife, married Judith (Bap 1565 Petworth, buried 1622 Subdeannery, Chichester. Ralph Chantler was an Alderman at St. Olave, Chichester and was buried thee in 1601. He married first, as her second husband, Ann nee Tyggoll (buried 1592 St. Olave) who had married first, George Arderne, who came from Cheshire (probably Offerton near Stockport) and in his Chichester will dated 1554 asked to be buried in the churchyard of St. Richard, Chichester. His son, also George Arderne, was buried 1614, St. Andrews, Chichester. George Arderne (2) was Mayor of Chichester and married 18 Jan 1579/80 as her first husband, Catherine Palmer, neice of Sir Thomas Palmer of Parham, Kent.
1614 as the death date of George Arderne makes sense, since his widow Catherine Arderne remarried in 1620 to John Cowper:
https://www.geni.com/documents/view?doc_id=6000000164301862821
Deposition of George Ardern, taken on 30 Sep.1592 (f16. Dep. George Ardern gent of Chichester. Born Chichester. Age 37. Wit.sign.), makes him born around 1555.
https://www.geni.com/documents/view?doc_id=6000000164290747043
SUSSEX ARCHEOLOGICAL COLLECTION VOL 100, p.132 states that his father's will is dated 1554, but the date of probate of this will is not specified. In fact, having made a will, a person could live a fairly long life to become the father of a child.