In al-Saheehayn and elsewhere it is narrated via Sa’eed ibn al-Musayyib that Um Shareek told him that the Prophet (SAW) told her to kill salamanders. According to the report narrated by al-Bukhaari, he said: “It (the salamander) blew (the fire) on Ibrahim (AS)”.
In Saheeh Muslim it is narrated via ‘Abd al-Razzaaq, Mu’ammar told us from al-Zuhri from ‘Aamir ibn Sa’d from his father that the Prophet (SAW) enjoined the killing of salamanders and called them mischief doers.
Killing salamanders with one blow brings more reward than killing them with two blows. This was narrated in Saheeh Muslim via Khaalid ibn ‘Abd-Allaah from Suhayl ibn Abi Saalih from his father from Abu Hurayrah, that the Prophet (SAW) said: “Whoever kills a salamander with one blow will have such and such hasanah (good deeds); whoever kills it with the second blow will have such and such hasanah, less than the first; and whoever kills it with three blows will have such and such hasanah – less that the second.” Shaykh Sulaymaan al-‘Alwaan.
Ibn Maajah (RAA) narrated in his Sunan from Saa’ibah the slave woman of al-Faakih ibn al-Mugheerah that she entered upon A’ishah (RAA) and saw a spear sitting there in her house. She said, “O Mother of the Believers, what do you do with this?” She said, “We kill these salamanders with it, because the Prophet of Allah (SAW) told us that when Ibrahim (AS) was thrown into the fire, there was no animal on earth but it tried to extinguish the fire, except for the salamander, which was blowing on the fire (to keep it burning). So the Messenger of Allah (SAW) commanded that they should be killed.” (Sunan Ibn Maajah, 3222. He said in al-Zawaa’id, the isnaad of A’ishah’s (RAA) hadeeth is saheeh, its men are thiqaat (trustworthy)
Allah knows best.