What type of father/daughter relationship has eliza obviously experienced?

Act II illuminates us to exactly where Eliza comes from. She is an illegitimate child whose father is a dustman willing to pimp his daughter. Doolittle, whose name is a pun on the fact that he hardly works, defines himself explicitly as a member of the undeserving poor. Despite the humor that arises when Doolittle explains that he is no less deserving than a widow who collects from a number of different funds for the death of the same husband, the man's joke holds a grain of truth. As a socialist, Shaw was concerned with all of the poor, not just the working or bereaved poor.

Relationship of Eliza Doolittle with her father