Dundee,
I greatly fear that I have rather ignored your considered post earlier on this thread, busily chasing my own tail and coming face to face with nothing but dead ends. I’ve looked back at that 1939 Electoral Roll entry and see that Beatrice gives her birth date as June 24th 1893, whereas the GRO death entry in 1973 it is a 24th June 1894 entry.
Very recent input from a family memory suggests strongly that the West Hartlepool location could well be where Beatrice started life. Entirely possible then, if with that August 1892 baptism, Beatrice could well have come into the world on the 24th June - but in 1892. Perhaps need to send away for that birth cert now.
With confusion in later years about the exact year of her birth, but day and month somehow clearly marked and remembered…
Keith