Mukhtasar Muslim (Abridged) 346 — Permissibility of carrying children

Sayyiduna Abu Qatadah Ansari (may Allah be pleased with him) says: I saw the Noble Prophet (peace and blessings of Allah be upon him) leading the people in prayer, and Umamah bint Abi Al-As (may Allah be pleased with her), his granddaughter, was on his shoulder (she was the daughter of his daughter Sayyidah Zainab, may Allah be pleased with her). When he (peace and blessings of Allah be upon him) would bow in ruku', he would put her down, and when he stood up from prostration, he would lift her onto his shoulder again.