Is it permissible for a woman to breastfeed a baby while she prays?
ANSWER by Shaykh Muhammad 'Umar Baazmool, instructor at Umm Al-Quraa University in Makkah
No, it is not permissible for a woman to breastfeed a baby while she prays. The Messenger (sallallaahu 'alayhe wa sallam) said:
"Verily within the prayer there are actions (that keep one busy)." 
So there is no doubt that breastfeeding is a seperate affair, one that interferes with and nullifies one's focus on the prayer. So then it is not permissible for a woman to feed her child while praying, not from her breast, and not from a bottle.
 Saheeh Al-Bukhaaree #1216 (3/108 of Fat-hul-Baaree)
This was translated exclusively for www.bakkah.net from a cassette recording with the knowledge and permission of the shaykh, file no. AAMB033, dated 1423/7/25.
******************** سبحانك اللهم وبحمدك أشهد أن لا إله إلا أنت أستغفرك وأتوب إليك