344C: YA novel from 1960s; English girl fall in woods and breaks leg

I am looking for a chapter book or YA novel I read in third grade in 1971-72. I believe it would have been published in the 1960s or between 1970-71 but it could also have been in 1950s.

It was about a girl in England who lived with her mother and no father. They lived in a flat, which was the first time I had encountered that word. The only thing I can distinctly remember was that the girl was hiking in the woods, alone, I believe, and fell and broke her leg and then had to figure out how to get help.

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