use of commas with conjunction reduction

Solution 1:

I think your wimp-out answers your question. The phrase and also enjoy a number of Percy Shelley's is effectively a parenthetical and, as such, is set of by commas in lieu of parentheses.

The issue arises because the parenthetical shares an object with the main clause of the sentence. But sharing an object is not really different from sharing a subject, as parentheticals often do

I ate, and enjoyed, the numerous confections on display.

Ironically, you would not need the commas or parentheses if you reordered the sentence

I like Lord Byron's poems and also enjoy a number of Percy Shelley's.