Yes, Dan, you are in the right place.
It will depend on what OS you are using as to how you turn off these headings.
In Windows, go to the menu item Options>Display Settings... In the resulting dialog you will see a check box that says next to it "Bible Pericope." Uncheck that box and click OK. (This is in e-Sword 12.)
In macOS, go to the menu item e-Sword>Preferences... In the resulting dialog you will see check box that says next to it "Section Headings." Uncheck that box and click OK.
in iOS, tap on the top left icon on the screen (it looks like three parallel lines). From the list that pops up choose "Display Settings." There you will find a slider that says next to it "Section Headings." Yes, you guessed it, tap that slider so that it is no longer blue, and then tap "Done" at the top right of the screen.
I have no experience with the Android version of e-Sword, but I suspect that the procedure is similar to that in iOS. You'll probably easily figure it out.
Anyway, this should be enough info to deal with the problem of those pesky headings.