Just a little nugget to add; Familyrelatives.com has put the 1920 Midwives Roll online.
Eunice May STRANGE is there!
Living at 21 Treharne Rd, Cadoxton, Barry.
Date of enrolment: 24 Nov 1904
Qualifications: In Practice, July 1901
There is a dagger symbol beside her name which I suspect means that she is no longer practising.
There is no proper description of the database, nor a key, but A lot of people have "In practice, July 1901" when they do NOT have an exam result, so I think the Roll must have started then, and those already working "officially" as midwives would have been allowed on the Register without an exam.
Still, more mysterious than ever, really as she was living in the same road under another name when she was probably working as a midwife!