Question: To what "Fair Youth of Shakespeare's Sonnets" did Shakespeare dedicate his narrative poem about the legendary Lucretia?

Context articles: Henry Wriothesley, 3rd Earl of Southampton
Sonnet 56
Willie Hughes
The Rape of Lucrece
Dark Lady (Shakespeare)
Sonnet 86
Sonnet 11
Sonnet 63
Sonnet 151
Sonnet 102

Henry Wriothesley, 3rd Earl of Southampton {'1': ", '2': ", '3': ", '4': "} (6 October 1573 – 10 November 1624), (pronunciation uncertain: "Rezley", "Rizely" (archaic), (present-day) and have been suggested), was the only son of Henry Wriothesley, 2nd Earl of Southampton, and Mary Browne, daughter of Anthony Browne, 1st Viscount Montagu.
 Shakespeare's two narrative poems, "Venus and Adonis" and "The Rape of Lucrece", were dedicated to Southampton, who is generally identified as the Fair Youth of Shakespeare's Sonnets.
Sonnet 56 is one of 154 sonnets written by the English playwright and poet William Shakespeare.
 It's a member of the Fair Youth sequence, in which the poet expresses his love towards a young man.
 The exact date of its composition is unknown, it is thought that the Fair Youth sequence was written in the first half of the 1590s and was published with the rest of the sonnets in the 1609 Quarto.
William Hughes is one potential candidate for the person on whom the "Fair Youth" of Shakespeare's "Sonnets" is based (if the sonnets are autobiographical).
 The "Fair Youth" is a handsome, effeminate young man to whom the poet addresses many passionate sonnets.
 Some sonnets can be interpreted as puns on the name "William Hughes".
 However, no real life person of that name can easily be identified with the character.
The Rape of Lucrece (1594) is a narrative poem by William Shakespeare about the legendary Lucretia.
 In his previous narrative poem, "Venus and Adonis" (1593), Shakespeare had included a dedicatory letter to his patron, the Earl of Southampton, in which he promised to write a "graver work".
 Accordingly, "The Rape of Lucrece" has a serious tone throughout.
The Dark Lady sequence of Shakespeare's sonnets (sonnets 127–154) distinguishes itself from the Fair Youth sequence by being overtly sexual in its passion.
 Among these, Sonnet 151 has been characterised as "bawdy" and is used to illustrate the difference between the spiritual love for the "Fair Youth" and the sexual love for the "Dark Lady".
 The distinction is commonly made in the introduction to modern editions of the sonnets.
 The Dark Lady is so called because the poems make it clear that she has black hair and dun coloured skin.
 As with the Fair Youth, there have been many attempts to identify her with a real historical individual.
 Lucy Negro, Mary Fitton, Emilia Lanier, Elizabeth Wriothesley, and others have been suggested.
Sonnet 86 is one of 154 sonnets written by the English playwright and poet William Shakespeare.
 It is the final poem of the Rival Poet subsection of the Fair Youth sonnets in which Shakespeare writes about an unnamed young man and a rival poet competing for the youth's attention.
 While the exact date of its composition is unknown, scholars generally agree that the Rival Poet series was written between 1598 and 1600 and published along with the rest of the sonnets in the 1609 Quarto.
Sonnet 11 is one of 154 sonnets written by the English playwright and poet William Shakespeare.
 It is a procreation sonnet within the 126 sonnets of the Fair Youth sequence, a grouping of Shakespeare's sonnets addressed to an unknown young man.
 While the order in which the sonnets were composed is undetermined (though it is mostly agreed that they were not written in the order in which modern readers know them), Sonnet 11 was first published in a collection, the Quarto, alongside Shakespeare's other sonnets in 1609.
Sonnet 63 is one of 154 sonnets written by the English playwright and poet William Shakespeare.
 It is a member of the Fair Youth sequence, in which the poet expresses his love towards a young man.
 Contrary to most of the other poems in the Fair Youth sequence, in sonnets 63 to 68 there is no explicit addressee, indeed the second person pronoun (you or thou) is not used anywhere in sonnets 63 to 68.
Sonnet 151 is the 151st of 154 poems in sonnet form by William Shakespeare published in a 1609 collection titled "Shakespeare's sonnets".
 The sonnet belongs to the Dark Lady sequence (sonnets 127–152), which distinguishes itself from The Fair Youth sequence by being more overtly sexual in its passion.
 Sonnet 151 is characterized as "bawdy" and is used to illustrate the difference between the spiritual love for the "Fair Youth" and the sexual love for the "Dark Lady".
 The distinction is commonly made in the introduction to modern editions of the sonnets in order to avoid suggesting that Shakespeare was homosexual.
Sonnet 102 is one of the 154 sonnets written by English playwright and poet William Shakespeare.
 It is one of the Fair Youth sonnets, in which Shakespeare writes of an unnamed youth with whom the poet is enamored.
 Sonnet 102 is among a series of seemingly connected sonnets, from Sonnet 100 to Sonnet 103, in which the poet speaks of a silence between his Muse and himself.
 The exact date of writing is unknown, and there is contention among scholars about when they were written.
 Paul Hammond among other scholars believes that sonnets 61-103 were written primarily during the early 1590s, and then being edited or added to later, during the early 1600s (decade).
 Regardless of date of writing, it was published later along with the rest of the sonnets of the 1609 Quarto.