I swear he's like a lamp

From The Miracle of Language by Richard Lederer, page 92.

What do these three sentences have in common?

Has Will a peer, I ask me.
I swear he's like a lamp.
We all make his praise.

Each is an anagram that uses all the letters in the name William Shakespeare, and each captures a luminous truth; Peerless Will Shakespeare shines through the centuries and inspires our praise.

I love word and number games. There is a mystical joy that comes from exercises such as these. How is it possible that eleven letters of an individual's name can be arranged in such a fashion as to craft three reasonably clear sentences that also speak a truth about the individual bearing that name?