That is designed or set aside for the use of mothers and their babies; (historical) designating a maternity home for single mothers, usually offering pre- and post-natal care.
Origin
1960s. From mother + and + baby.
Definition of mother-and-baby in US English:
mother-and-baby
adjectiveˌmʌðə(r)(ə)nˈbeɪbi
That is designed or set aside for the use of mothers and their babies; (historical) designating a maternity home for single mothers, usually offering pre- and post-natal care.