In my mind I had always pronounced Eorl like a cognate of earl, but upon reflection I think that can't be right.
Many of the Rohan royalty have the letters E and O successively in their names, pronounced Ee-oh. Eorl's father was Léod. We meet Théoden, Éomer, Éowyn, and hear of Théodred. All are Ee-oh, but all with an acute accent over the "E." Eorl has no special marking over the first letter of his name, but it can't be because of its position in the word. See, for example, Éowyn and Éomer, both of whom do have initial diacriticals.
Is the correct pronunciation Ee-oh-rl?
Have I been hearing in my mind's ear the pronunciation of Eorl incorrectly all this time?