The Title Pygmalion is symbolism; it is in reference to the Greek myth of the sculptor falling in love with his creation. It is symbolic towards the relationship between Henry Higgins and Eliza Doolittle.
When Higgins first agrees to teach Eliza and have her stay there with him, Mrs. Pearce (the housekeeper) is unhappy with this and asks him what his plan is for her after he has made her into a lady. This is the same point his mother, Mrs. Higgins, brings up later. Both of these are foreshadowing because later, after she is indeed transformed into a lady, Eliza herself questions what is to happen to her.
In the beginning of the play upon seeing Eliza on the street Professor Higgins says, “Well sir, in three months I could pass that flower girl off as a duchess at an ambassador’s garden party.” This also is foreshadowing because he later does just that.