I listened to the first disc of Live at the BBC yester-day and noticed a few small points.
In the verse at the very end of "I Got a Woman," both "way" and "town" in the line "Way 'cross town" are sung with melismas (C# C# and D# C# B respectively). Since both of these are drawn out, there's a musical sense of that distance.
This feature is also present in the version on On Air - Live at the BBC, Volume 2.
I referenced the versions by Ray Charles (who wrote the song) and Elvis Presley. The Beatles' version follows Elvis' version (in E major rather than Charles' A major, with the last verse at a slower tempo, and with "Way 'cross town" in place of Charles' "Way over town" [although Elvis does go back to "Way over town" for the last verse]), but Elvis' version doesn't have these melismas (not at the end at least; he does occasionally sing "town" to the notes A B).