“We performed Hajj with the Messenger of Allah (ﷺ), and there were women and children with us. We recited Talbiyah on behalf of the children and stoned the Pillars on their behalf.”

as above (the sub narrators are different). Abu Huraira qualified the three children referred to in the above mentioned Hadith as not having reached the age of committing sins (i.e. age of puberty) .

When the Prophet (ﷺ) arrived at Mecca, the children of Bani `Abdul Muttalib received him. He then mounted one of them in front of him and the other behind him.

The Messenger of Allah (ﷺ) delivered a speech to us; meanwhile al-Hasan and al-Husayn came upon there stumbling, wearing red shirts. He came down from the pulpit, took them and ascended it with them. He then said: Allah truly said: "Your property and your children are only trial" (Ixiv.15). I saw both of them, and I could not wait. Afterwards he resumed the speech.

I saw the Messenger of Allah (ﷺ) delivering a sermon, and Hasan and Husain came forward, wearing red shirts, stumbling and getting up again. The Prophet (ﷺ) stepped down, picked them up and put them in his lap. Then he said: “Allah and His Messenger have spoken the truth. ‘Your wealth and your children are only a trial.’ I saw these two and I could not be patient. Then he resumed his sermon.”