Don’t know about musical ability, but both my mother and I used to sing. She was an alto with the Liverpool Philharmonic Choir.
My husband is tone deaf, can’t even clap on the beat. My daughter is also tone deaf. Her small son is also tone deaf, can’t carry a tune in a bucket. Nor has he any sense of rhythm. Don’t know what causes tone deafness, but it looks like that, at least, can be inherited.