Normally when buying an individual Shakespeare play, I would go with an Arden edition. In this case I was aware that there was an original source play called Taming a Shrew published anonymously in 1594.
One of the peculiarities of the play is the Induction Scene with Christophero Sly appearing at the beginning of the play and a Lord spies as being drunk and decides with his servants to play a practical joke, and when Sly wakes up treat him like a Lord.
It's quite an amusing sequence, yet we hear no more from this character Sly,and that storyline is left unresolved.
I went with the Norton Edition hoping to get some clarity between this and the source play which begins with an induction by a character named Sly, and has Kate as a lead character.
The Norton edition does contain extracts from source materials. I particularly liked reading the 1550 anonymous poem, and extracts from Ovid's Metamorphoses, and other plays, and contains about 8 pages of Taming a Shrew, where Sly reappears throughout the play, and the play itself is the dream of Sly.
There is also an essay by Harold Bloom.
Now, if you're like me you want the total understanding, so I also recommend the original play Taming a Shrew, published by Frederick Boas, a great scholar on both Kyd and Marlowe.
If you are an Amazon Prime member as I write you can watch the Zeffirelli version of The Taming Of The Shrew (1967) for free. I don't know how long this will last.
Some scholars are of the opinion that Shakespeare also wrote the original play. Making such a claim though is a double edged sword. If one credits the original play to Shakespeare, the play contains so many allusions to Marlowe and parallel lines with other Marlowe plays, that you would have to say the play either was written by Marlowe, or someone blatantly apeing Marlowe's style making him a plagiarist.
The original play shares a common setting Marlowe's Hero and Leander, with reference to their story, and to the Hellespont and Sestos where their story is set. The Marlowe poem registered shortly before his death in 1593 under dubious circumstances would not be published until 1598.
According to Henslowe's diary Taming a Shrew was performed multiple times in 1592 and afterwards. There is no performance record of the Shakespeare play before 1623. This is one of many examples of prototype anonymous plays issued which would be followed by Shakespeare plays with similar titles. Other examples would be Richard III 1594, Titus Andronicus 1594, Famous Victories of Henry V 1598, and King Leir 1605, all anonymous, and the Ur Hamlet of which only remnants survive attributed to Kyd.
I recommend this edition, and if you wish to explore further, I recommend The Taming of a Shrew: Being the Original of Shakespeare's Taming of the Shrew. I bought it at al another ibris online vendor.
After writing this review I discovered a very reasonably priced option Three Shrew Plays: Shakespeare's The Taming of the Shrew; with The Anonymous The Taming of a Shrew & Fletcher's The Tamer Tamedwhich includes Fletcher's response play A Woman's Prize aka The Tamer Tamed.
If I had to do this over again I would probably get that edition.
I think you will love it, and I hope this was helpful.