4 things:
1)
John 8:6
St. Jerome has a wonderful insight on what was Jesus writing on the ground. That Jesus inscribed the sins of the woman's accusers, based on Jeremiah 17:13. Judge not, lest ye be judged...
N2 indirectly used Bede's commentary that Jesus was the creator and the law giver whose fingers wrote the law. This is agreeable, but Jerome simply took it further in speculation.
2)
The story of the woman caught in adultery is actually missing in early manuscript until Codex Bezae (5th century Greek-Latin manuscript). Augustine thought that the "removal" of such passage was to not encourage adultery. This passage is also said to be less known among the Greeks and especially Byzantine Christians.
3)
It is interesting to note that the Jews define adultery as only applies to sexual misconduct involving a married woman. That means a married man who has sexual intercourse with an unmarried woman is technically not committing adultery. Think "the sin of concubinage". It is only after the modern law, that the Jews permitted their women to divorce their husbands likewise. It would appear that the later Jews attempt to defend, through their Talmud, that the woman was accused by the husband who had not committed such crime himself. I think this to be an unfair stretch of the original story simply to justify the absence of the partner of the adulteress. On the side note on a mamzer (bastard), who is not to be involved with Jewish affairs, I see that king Solomon would technically not be a mamzer, since David's mamzer (some Jews do not consider David's crime an adultery - something about the Talmudic revelation of how Jewish soldiers temporarily "divorced" their wives in case they die in battles and thereby set their wives free to marry anyone else) has been struck by God, and that Uriah had been dead already.
4) Stoning
It is noteworthy to point out that the stoning of an adulterer was not referring to Lev 20:10 (married woman), but Deu 22:23 (virgin/betrothed woman) instead. For they are two completely different case. The Jews had it that if stoning was not mentioned in the Torah, the default death penalty fell on strangling.
The above, I learned, indirectly, from the Friday Bible Study at Ling's place. "Why did you not share Jerome's with the class?", my wife asked. I thought to myself - cast not thy pearls to swine, lest they trample them under their feet.