Which high priest did Samuel go to live with?
The answer to this is found in I Samuel, Chapter 1. This chapter tells the story of how Samuel came to be born and how he went to live with Eli, the high priest.
In this story, Samuel's mother, Hannah, was barren. Eli blessed her because of her faith and God allowed her to have children, the first of whom was Samuel. In thanks for her blessing, Hannah decided to dedicate Samuel to God. As soon as Samuel was weaned, Hannah brought him to live with Eli and to be brought up as a priest.