One of the most obvious links in the chain of evidence that connects Edward de Vere the seventeenth Earl of Oxford to “Shakespeare” is the similarity of Hamlet’s and Oxford’s family relationships. In fact this reason to believe that Oxford wrote the play Hamlet, as well as all the other Shakespeare works, is so clear that I’ve kept putting it aside as being too obvious or too easy. Well, I might as well get it over with, so here’s Reason No. 19 in all its simple clarity…
Queen Gertrude in the play is the mother of Prince Hamlet, while Queen Elizabeth in real life was the official mother of Lord Oxford. [At age twelve in 1562 he became the first of eight royal wards during her reign.]
Lord Chamberlain Polonius is the chief adviser to Queen Gertrude, while William Cecil Lord Treasurer Burghley was the chief adviser to Queen Elizabeth. [He held the post from the Queen’s accession in November 1558 until his death in August 1598, when his second son, Principal Secretary Robert Cecil, officially took over his father’s unique role behind the throne.]
Hamlet is engaged to young Ophelia, daughter of Polonius, while in real life Oxford became engaged to fifteen-year-old Anne Cecil, daughter of Burghley. [Oxford and Anne were married in December 1571 when he was twenty-one and she had turned fifteen.]
Ophelia’s older brother Laertes goes off to Paris, his behavior causing great distress for his father, Polonius, who recites those “precepts” to him as guidance, while in real life Anne Cecil’s eldest brother Thomas Cecil went off to Paris, his behavior causing great distress for his father, Burghley, who wrote him long letters full of wise “precepts” as guidance. [In the final act of the play, in my view, Laertes becomes the second son, Robert Cecil.]
SEE MARK ALEXANDER’S “25 CONNECTIONS” RE: HAMLET & OXFORD (It’s a PDF download of Power Point)
THE LINE-UP (again):
Hamlet, Prince of Denmark – Oxford, Lord Great Chamberlain of England
Gertrude, Queen of Denmark – Elizabeth, Queen of England
Polonius, Chief Minister to Queen Gertrude – Burghley, Chief Minister to Queen Elizabeth
Ophelia, daughter of Polonius – Anne Cecil, daughter of Burghley
Laertes, son of Polonius – Thomas and Robert Cecil, sons of Burghley
And, for example:

Horatio Vere (1565-1635), cousin of Edward de Vere; with his brother Francis they were "The Fighting Veres"
Horatio, favorite friend of Hamlet – Horatio Vere, favorite cousin of Oxford
Francisco, a soldier – Francis Vere, soldier and cousin of Oxford
[Oh, yes – and Claudius, who has murdered Hamlet’s father and married his mother the Queen, appears to reflect Queen Elizabeth’s lover Robert Dudley, Earl of Leicester, whom Oxford may have suspected of having caused the death of his own father.]
So in this most autobiographical of Shakespeare’s plays, we find the protagonist in virtually the same web of family relationships at Court as that in which Edward de Vere is to be found in the contemporary history. Traditional scholars may ask rhetorically, “Well, now, you’re not claiming this as proof that Oxford wrote Hamlet, are you?”
“No, of course not,” I might reply, “but doesn’t this give you a little queasy feeling in the gut? I mean, don’t you have the slightest tremor of doubt that Will of Stratford could have or would have written such a play? And do you think this mirror image of family relationships can be mere coincidence?”
James Shapiro argues in Contested Will [p. 177] that “such claims about representing on the public stage some of the most powerful figures in the realm betray a shallow grasp of Elizabethan dramatic censorship.” J. Thomas Looney, who in 1920 first suggested Oxford as Shakespeare, “didn’t understand that Edmund Tilney, the Master of the Revels, whose job it was to read and approve all dramatic scripts before they were publicly performed, would have lost his job – and most likely his nose and ears, if not his head, had he approved a play that so transparently ridiculed privy councilors past and present,” Shapiro adds.
Well, in the play itself the author may have supplied one answer to that argument, when Polonius at the top of Act 3, Scene 4, speaking of Hamlet, tells Queen Gertrude: “He will come straight. Look you lay home to him. Tell him his pranks have been too broad to bear with, and that your Grace hath screened and stood between much heat and him.” (My emphasis)
In other words, Polonius-Burghley reminds Gertrude-Elizabeth that Hamlet-Oxford has taken too many liberties, unbearably so, but nonetheless the Queen has protected him from “much heat” and/or reprisals by government officials [such as Tilney] as well as by his enemies at court.
Shapiro is right, however, in one respect: the playwright surely would have lost his head … if he had really been Shakspere of Stratford!
Lilian Winstanley in Hamlet and the Scottish Succession (1921) writes on p. 122 about Polonius-Burghley and the use of spies:
“Intercepted letters and the employment of spies were, then, a quite conspicuous and notorious part of Cecil’s statecraft, and they are certainly made especially characteristic of Shakespeare’s Polonius. Polonius intercepts the letters from Hamlet to his daughter; he appropriates Hamlet’s most intimate correspondence, carries it to the king, and discusses it without a moment’s shame or hesitation: he and the king play the eavesdropper during Hamlet’s interview with Ophelia: he himself spies upon Hamlet’s interview with his mother. It is impossible not to see that these things are made both futile and hateful in Polonius, and they were precisely the things that were detested in Cecil….”
Quite a couple of families, eh?