For those curious and unfamiliar, here is a link that includes the entire text of Pygmalion including the epilogue:
http://www.gutenberg.org/files/3825/3825-h/3825-h.htm
Some funny quotes that may not actually fit all the way with Lerner's version of the story:
"Almost immediately after Eliza is stung into proclaiming her considered determination not to marry Higgins, she mentions the fact that young Mr. Frederick Eynsford Hill is pouring out his love for her daily through the post. Now Freddy is young, practically twenty years younger than Higgins: he is a gentleman (or, as Eliza would qualify him, a toff), and speaks like one; he is nicely dressed, is treated by the Colonel as an equal, loves her unaffectedly, and is not her master, nor ever likely to dominate her in spite of his advantage of social standing. Eliza has no use for the foolish romantic tradition that all women love to be mastered, if not actually bullied and beaten. "When you go to women," says Nietzsche, "take your whip with you." Sensible despots have never confined that precaution to women: they have taken their whips with them when they have dealt with men, and been slavishly idealized by the men over whom they have flourished the whip much more than by women. No doubt there are slavish women as well as slavish men; and women, like men, admire those that are stronger than themselves. But to admire a strong person and to live under that strong person's thumb are two different things. The weak may not be admired and hero-worshipped; but they are by no means disliked or shunned; and they never seem to have the least difficulty in marrying people who are too good for them. They may fail in emergencies; but life is not one long emergency: it is mostly a string of situations for which no exceptional strength is needed, and with which even rather weak people can cope if they have a stronger partner to help them out. Accordingly, it is a truth everywhere in evidence that strong people, masculine or feminine, not only do not marry stronger people, but do not show any preference for them in selecting their friends. When a lion meets another with a louder roar "the first lion thinks the last a bore." The man or woman who feels strong enough for two, seeks for every other quality in a partner than strength.
The converse is also true. Weak people want to marry strong people who do not frighten them too much; and this often leads them to make the mistake we describe metaphorically as "biting off more than they can chew." They want too much for too little; and when the bargain is unreasonable beyond all bearing, the union becomes impossible: it ends in the weaker party being either discarded or borne as a cross, which is worse. People who are not only weak, but silly or obtuse as well, are often in these difficulties.
This being the state of human affairs, what is Eliza fairly sure to do when she is placed between Freddy and Higgins? Will she look forward to a lifetime of fetching Higgins's slippers or to a lifetime of Freddy fetching hers? There can be no doubt about the answer. Unless Freddy is biologically repulsive to her, and Higgins biologically attractive to a degree that overwhelms all her other instincts, she will, if she marries either of them, marry Freddy.
And that is just what Eliza did."
Regarding their future, it seems after some financial, but not personal, hardships where they thought they could learn bookkeeping by attending the London School of Economics and other such, some how their struggling flower shop started taking care of itself and they finally learned the value of hiring people who knew what they were doing. Freddy also became a grocer first selling asparagus and then other vegetables with the flowers which somehow made the place seem even classier. Of course, they relied on the generosity of Col. Pickering, but that's honestly to be expected considering Eliza was taught speech and how to pass herself off as a duchess but not much in the way of owning a business and having real business skills (selling discarded flowers on the street is a much different venture) and Freddy not having not been brought up to work nor his family having much money to provide a real education outside learning Latin. The way Shaw describes Freddy's interactions and devotion to Eliza in the aftermath seems she was quite content with her choice.