It is quite amazing to think that Heﷺ who didn’t stand for kings and princes used to stand for his beloved daughter the Lady Fatima.
Abū Dāwūd, al-Tirmidhī and al-Nasāʾī narrated that ʿĀʾisha said:
I never saw anyone who so resembled the Messenger of Allah a in his comportment, gestures or mannerisms than his daughter Fāṭima, in how she stood and sat. When she came to visit him, he would stand and kiss her, and sit her down in his place.
[from the forthcoming The Perfect Family – Virtues of the Ahl al-Bayt, p69]