Ma'arif al-Qur'an
Mufti Muhammad Shafiفَجَاءَتْهُ إِحْدَاهُمَا تَمْشِي عَلَى اسْتِحْيَاءٍ (Then one of the two women came to him walking with shyness. - 28:25). In accordance with Qur'anic practice the story has been summarized here. The full story runs like this: When the two girls reached home earlier than usual, their father enquired the reason for that. So they related to him the whole incident. Their father thought that he should make up for the favour Musa (علیہ السلام) had done to his daughters. Hence he asked one of his daughters to bring him with her. She went to Sayyidna Musa (علیہ السلام) and talked to him with an element of modesty. This shows that despite the fact that hijab was not enjoined by then, good women would not talk to men freely. She went to him with a need, so she talked with shyness. Some commentators have given the detail of her shyness that while talking she had raised her sleeve up to her face. The narrations as related in commentaries say that Musa (علیہ السلام) had asked her to walk behind him and guide him from the back. The objective was that he could not cast his eye on her.
Perhaps for this reason she told her father about him to be trustworthy.
Who was the father of these two girls? Commentators have different views on this subject. But Qur'anic verses allude that he was Sayyidna Shu` aib (علیہ السلام) (7:85). (Qurtubi)إِنَّ أَبِي يَدْعُوكَ (My father is calling you - 28:25). It was possible at that time that the girl would have invited him on her own, but she did not do so. Instead, she conveyed her father's message to him, because it was against the modesty for a girl to invite a stranger at home.