The name Winnie the Pooh lives under or by.
From the introduction of the first Pooh Bear video "Winnie the Pooh & the Honey Tree."
"Winnie the Pooh lived in this enchanted forest under the name of Mr. Sanderz, which means he had the name over the door in gold letters, and he lived under it."
"I live under the name of Mr. Sanderz."