Your grasp, the nice Warlock William the Wide, has lately handed away. In his will, he left you a crystal field with a grid of squares and names on prime and a notice:

The notice reads:

You are actually a gifted scholar, however are you my most gifted? This field lists a number of the most proficient college students of mine over the previous few millennia, but it surely’s additionally lacking a number of. Can you discover what the others are presupposed to be? This field, which incorporates all of my biggest magical artifacts, will solely open should you fill in the remainder of the names. If you do open the field, its contents are yours!

Best of luck,
William the Wide

Can you determine what the lacking names are?

Mathjax Version
$$start{array}c
hline
Anicetus & & Chambliss & Louis I &
hline
& & Blefary & Frederick I & Jefferson
hline
Clement I & Eadwig & & &
hline
Stephen I & & Kuenn & &
hline
& Henry II & & Lambert I & Buchanan
hline
finish{array} $$

Markdown Table Version (appropriate for copy-paste)