Euripides Hippolytus and Sophocles' Oedipus bear strong thematic connections to the story, not coincidentally. Consider reading these (or parts or adaptations of them) in tandem with the play, or separately in preparation for or after reading Desire Under the Elms.
In addition, consider O'Neill's Mourning Becomes Electra for similar themes as well, notably the Oedipal and Electra complexes of dysfunctional family life.