Salaam Aleykum
This has made me do some investigation.
I read some ahadith on here:
http://www.searchtruth.com/searchHadith.php?keyword=stoned&translator=1&search=1&book=&start=0I saw in one hadith the stoning is mentioned as "Ar-Rajm"
And root word "ra jim mim" (RJM)
And here we can look at the verses containing words from root "ra jim mim"
http://corpus.quran.com/qurandictionary.jsp?root=rjmlarajamnāka verb
1st person masculine plural perfect verb
(11:91:14) ... surely we would have RJM-ed ...
yarjumūkum verb
3rd person masculine plural imperfect verb, subjunctive mood
(18:20:5) ... they will RJM you ...
tarjumūni verb
2nd person masculine plural imperfect verb, subjunctive mood
(44:20:6) ... you RJM me. ...
la-arjumannaka verb
1st person masculine singular imperfect verb, energetic mood
(19:46:10) ... surely, I will RJM you, ...
lanarjumannakum verb
1st person masculine plural imperfect verb, energetic mood
(36:18:

... surely, we will RJM you, ...
l-marjūmīna passive participle
genitive masculine plural passive participle
(26:116:

... those who are RJM -ed
4 issues came to my attention:
1. Look in the Qur'an and read WHO is saying they will do the RJM and to whom, and why.
in 11:91 the people to whom Shuayb was sent, say it to him because they don't want to obey the message.
in 18:20 the people in the city will want to RJM the one in the cave OR return him to THEIR religion.
in 44:20 the messenger sent to the people of the Pharoah seeks refuge in Allah in case the people of the Pharoah want to RJM him.
in 19:46 Ibrahim's father said it to Ibrahim because he didn't agree with Ibrahim telling him not to worship the Shaytan.
in 36:18 2 messengers, strengthened by a 3rd are sent to the companions of the city and it is the people who don't want to obey the message who want to RJM the messengers
in 26:116 The people who Nuh was trying to warn didn't want to obey the message so they threatened to RJM him.
So the people who want to do the RJM in all the examples given to us in the Holy Qur'an are the ones who are the Enemies of the messenger / Rejectors of the truth.
2. If root word "ra jim mim" (RJM) means stoned or stoned to death, then look at 38:77 and 15:34 - Shaytan is told "Get out! you are RJM" and
15:17 , 81:25, 3:36, and 16:98 all mention the "shaytan RJM" usually translated as "Shaytan the banished", "Shaytan the accursed" or "Shaytan the rejected" or "expelled".
It may be that RJM does not mean "stone" or "stone to death", rather it means expelling or banishing. Allahu ALim
3. Allah is not ordering the RJM. The enemies of the messengers and the rejectors of Allah and the truth are the ones who want to do the RJM.
4. Nowhere in the above verses where RJM is mentioned, is it talking about Adultery.
Adultery, lewdness, fornication and immorality can be read about in the following places in the Holy Qur'an:
http://corpus.quran.com/qurandictionary.jsp?root=znyhttp://corpus.quran.com/qurandictionary.jsp?root=fH$
Allahu Alim, May Allah increase us in knowledge and understanding, inshallah