[Theme Horse Support Team]

Hi @venepress-web,

To Change the ‘Top Stories’ title to ‘Breaking News’ or any other desired Text then please go to ‘Appearance > Customize > Top Stories Posts’ and then you can change the Posts Title there from the input field.
and Sorry the top stories section will show either Latest Posts or the desired Posts through categories. Category with empty post will not be shown in the category list. If you want to hide the Top Stories Section then you can check the option to Hide Top Stories Post on the same setting section as mentioned above.

Thanks