The men used to pray with the Prophet (ﷺ) with their Izars tied around their necks as boys used to do; therefore the Prophet (ﷺ) told the women not to raise their heads till the men sat down straight (while praying).
Sahih al-Bukhari Book 8, Hadith 14
← Previous Hadith I asked Jabir bin `Abdullah about praying in a single garment. He said, "I traveled with the Prophet (ﷺ) during some of his journeys, and I came to him at night for some purpose and I found him praying. At that time, I was wearing a single garment with which I covered my shoulders and prayed by his side. When he finished the prayer, he asked, 'O Jabir! What has brought you here?' I told him what I wanted. When I finished, he asked, 'O Jabir! What is this garment which I have seen and with which you covered your shoulders?' I replied, 'It is a (tight) garment.' He said, 'If the garment is large enough, wrap it round the body (covering the shoulders) and if it is tight (too short) then use it as an Izar (tie it around your waist only.)' "

Sahih al-Bukhari Book 8, Hadith 13 Next Hadith → Once I was traveling with the Prophet (ﷺ) and he said, "O Mughira! take this container of water." I took it and Allah's Messenger (ﷺ) went far away till he disappeared. He answered the call of nature and was wearing a Syrian cloak. He tried to take out his hands from its sleeve but it was very tight so he took out his hands from under it. I poured water and he performed ablution like that for prayers and passed his wet hands over his Khuff (socks made from thick fabric or leather) and then prayed .

Sahih al-Bukhari Book 8, Hadith 15