[Verginius Rufus]

I had not looked at any translation, just going on memory (and some commentary I read once that tried to excuse the daughters' behavior on the grounds they thought no one else was alive).

I don't read Hebrew, but I just looked at the Septuagint and the KJV is a pretty accurate rendition of the Greek text. The NIV looks like it is a looser translation at least in this case. The Greek phrase means "upon the earth."

[editor-surveyor]

Do not dismiss the most important element:

God blessed Lot’s lineage through his daughters with a permanent gift of land, that he protected even from Israel.
.

[Elsie]

Whatever the motivation (Cyndi Lauper says that Girls Just Wanna Have Fun!) they got the deed(s) done.