The Bakehouse, Kings Mill Lane

My nephew took us through the back streets of Stamford towards the Bull and Swan for lunch on Boxing Day. Stamford is architecturally and historically beautiful, but it was still nice to see these old cobbled lanes in the middle of town.
It didn't occur to me at the time but the cottage in the foreground is called the BakeHouse ..... and its on Kings Mill Lane! Could this be the origins of Kingsmill bread?