It's a question of grammar

Hope I’m not spoiling this, but the way I learned to resolve issues like this is to recast the sentence with a single subject:

Quote from Splinter

Some common mistakes that many of us make when writing (not just in novels).

.

I or Me?.

A) Gloria took a photo of David and me.

B) Gloria took a photo of David and I.

Gloria took a photo of ... ? Me!

So the correct answer is A).

Quote from Splinter

I confess to saying "My brother and I" when I was younger.

How about The King And I?

Tricky! Depends on subject or object:

She took a picture of The King and Me.

The King and I took a walk.

Quote from EJLarson

She took a picture of The King and Me.

-- unless she was at the cinema for a return of the Yul Brenner classic and was moved to photograph it. In that case,

She took a picture of "The King and I."

Quote from Rice

-- unless she was at the cinema for a return of the Yul Brenner classic and was moved to photograph it. In that case,

She took a picture of "The King and I."

... unless you attended the event with a monarch, in which case “She took a picture of the King and me at ‘The King and I.’”