How is the quote about Galatea and Pygmalion found in the Sequel of Pygmalionrelate to the events discussed in the Sequel? The quote is: "Galatea never...

Shaw's is based on the
tale of "Pygmalion" the sculptor in Ovid's (Roman poet)
Metamorphoses, which is fifteen tales written in Latin in heroic hexameter.
In Ovid's "Pygmalion," the sculptor creates a statue and calls her Galatea, then calls
upon the goddess Venus, the goddess of Love, to bring her to life so he might wed her. In Ovid's
story, as stated by Shaw in the "Sequel" of Pygmalion, Galatea
can never fully overcomes the barrier between herself and Pygmalion, feeling that he is godlike
and in some ways unlike her.

Shaw applies this Ovidian point to his play and
prohibits Liza from becoming romantically attached to Higgins even though, as Shaw says, that
while "Eliza's instinct tells her not to marry Higgins. It does not tell her to give him
up." Shaw is suggesting that to be true to his source, Ovid's "Pygmalion," he has
to keep a barrier between Liza and Higgins, and the barrier must in time demonstrate some of the
friction and some of the same sort of dislike as exists between Ovid's Galatea and
Pygmalion.

Shaw accomplishes this by having Higgins about twenty years older
than Liza; by making him an unquestionable bachelor; by providing an "irresistible rival in
his mother ...  who has intelligence, personal grace, dignity of character without harshness,
and a cultivated sense of the best art ... to make her house beautiful"; by making him
ill-temperedly brusque and rude. On top of which, he gives Liza a sufficiently deprived and
constricted background so that she is unable to understand Higgins words when he sincerely
addresses her about (1) equality of address to persons and (2) his affection and respect for
her

(Act V: "You call me a brute because you couldnt
buy a claim on me by fetching my slippers and finding my spectacles. ... I think a woman
fetching a man's slippers is a disgusting sight ... If you come back, come back for the sake of
good fellowship; ... .").

Therefore, she goes all
her days--though remaining attached to and dependent on Higgins (and Pickering) for affection
and advice--believing in her own opinion of Higgins (which is that he has no respect and only
wants her to fetch his slippers and find his glasses) and quarreling with him to the point that
Pickering must ask her to be a little more gentle with Higgins. In this way, Shaw relates the
"Sequel" to Ovid's story of Galatea and Pygmalion.