Final answer:
King Henry most likely gave Becket a royal title during the ceremony, considering the historical context of royalty and their relationship with the church.
Step-by-step explanation:
In relation to the historical context provided and the time period of King Henry, the most likely answer is that King Henry gave Becket a royal title. The information presented discusses various historical acts of royalty in relationship with the church and ceremonial tokens. Given that Thomas Becket was appointed by Henry II as the Archbishop of Canterbury, it suggests that a title or church-related power would be bestowed upon Becket during a ceremony. While King Louis IX held a ceremonial role in the church and William II donated a church, the question implicitly refers to King Henry's relationship with Becket, which was distinctly marked by the conferral of a religious office and title rather than a physical object like a sword or robe. Similarly, King Henry VIII's actions towards the church were more about authority and title than the giving of material gifts.