Just listening to Rob Bryden telling that his mother’s lullaby song was ‘ Once upon a time there were three Jews’! I remember the Bodach singing the Boys’ Brigade hymn to ours, and my personal favourite was Panis Angelicus! These were the ‘go to sleep’ choices, not the everyday singalongs.
"Go to sleep my baby" was what my mim sang to me & also 'Theres a tiny house By a tiny stream Where a lovely lass Used to sit and dream.' My much-loved Dad would sing me Eidelweiss from Sound of Music if Mum was cross & sent me to bed without a cuddle / story/ song. I sang Brahms lullaby to mine, also to the dogs when they were puppies, but I've never known the words, just make them up.
I used to sing The Skye Boat Song to my babies, or a hymn from the Methodist Hymn Book, In heavenly Love Abiding was a favourite. My mother sang Go to Sleep my Baby to my sisters and I.
I don’t remember my mother singing to me at all….or ever singing for that matter. I sang to my children. My DD particularly remembers the Everly Brothers ‘ Dream, dream, dream ‘.