wptexturize() #18549 — live demo
Every line below is real markup typed with straight quotes, left for WordPress to texturize on output. With the faithful forked-wptexturize() plugin active, a quote or apostrophe right after a closing inline tag curls the right way. Without the fix, the apostrophe in <strong>He</strong>'s would render as an opening quote (‘).
Possessives and contractions after a tag
He’s here. It’s fine. Dan’s truck. rock’n’roll.
Closing quotes after a tag
The word is “quoted”. A possessive after a quoted name: “John”’s car.
The adjacency guard still works
A space before the quote keeps a normal opening quotation: He ‘go’ and She said “go” stay open.