Ibn Abbas reported that Allah's Apostle (ﷺ) met some riders at al-Rauha and asked who they were. They replied that they were Muslims. They said:Who art thou? He said: (I am) Messengef of Allah. A woman (then) lifted up a boy to him and said: Would this child be credited with having performed the Hajj? Thereupon he said: Yes, and you will have a reward

Ibn Abbas (Allah be pleased with them) reported:A woman lifted up her child and said: Messenger of Allah, would the child be credited with having performed the Hajj? Thereupon he said: Yes, and there would be a reward for you

Karaib reported:A woman lifted a child and said: Messenger of Allah, would he be credited with Hajj? He said: Yes. and for you there would be a reward

A hadith like this has been narrated on the authority of Ibn 'Abbas through another chain of transmitters