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A fair amount of what I said was with page 1741 in mind (I don't know how that ended). You're clearly after something different. And I am being pessimistic but foundations footings maybe almost non existent (distance memory of reading regs introduced ~1903), my only other thought was if the ground is of a type (clay) that would be prone to drying and having deep cracks that the concrete covering would have been added to prevent that..
The new image does show that the concrete might be a much greater depth- I think to start, Id be looking at trying to preserve the concrete 8" away from the house at 45° down and away = an angle grinder..
I can't write a lot as
a) I don't know what could potentially go wrong
b) I can't tell how to put right what could potentially go wrong
I also don't feel a proper picture as to how much ground you want to take out..
But that ground definitely helps keep up the walls - they probably have 'happy' cracks in them, an additional movement over time of 5mm from dropping the ground (their stability) may make them 'unhappy' ..
I've definitely seen gas service pipes placed in positions you'd never dream of nowadays.
However the concrete does look very thin ~1" the corner cracks could be where to start lifting, it may come up in one piece - if it's looking thick I'd stand back and have a head scratch