After several evenings spent with Google and looking through old photos, I think I may have an idea of what to make, though I still need to decide how to make it.
The house in which I grew up had a tiled hall and I managed to find an old photo of it.
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*Edit - I've just spotted a mistake in the tiling in the border in the upper right of the photo!I knew the tiles were likely made by Maw & Co of Jackfield and via Google I was able to find an old pattern book of their "
Geometric and Roman Mosaics Encaustic Tile Pavements". Looking at the pattern book, it would suggest our hall was pattern number 29 but with a slight variation on the border to make it narrower.
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Even though there are various options for a quilt block in the main part of the floor, I think I am going try the corner embellishment that is shown in the pattern book, but I need to decide if I'm going to do this by machine piecing, EPP or FPP.