From the Prophet, that is similar, except that he did not mention "Until they finish, or they have eating their fill."
Jami` at-Tirmidhi Book 8, Hadith 105
← Previous Hadith "I heard a freed slave of ours called Laila narrated from Umm Amarah bint Ka'b Al-Ansar, that the Prophet entered upon her and some food was brought to him. He said: 'Eat.' She said: 'I am fasting.' So the Messenger of Allah said: 'Indeed the angels send Salat upon the fasting person when (others) eat in his presence, until they finish.' And perhaps he said: 'Until they have eaten their fill.'"

Jami` at-Tirmidhi Book 8, Hadith 104 Next Hadith → "We would menstruate during the time of the Messenger of Allah, then when we became pure we were ordered to make up the fasts but we were not ordered to make up the Salat."

Jami` at-Tirmidhi Book 8, Hadith 106