Ah - I may have the link
Little Budworth was in the hands of the Egerton family, and Great Budworth was in the hands of the Egerton-Warburton family. Rowland Egerton, born 1804, was the son of Philip Egerton who became 9th baronet of Egerton and Oulton (Little Budworth) in 1825 - further details available from "Mr Wiki" regarding the addition of Warburton to the family name.
I had noticed, in the early censuses, that the staff in Little Budworth, for the Egerton family, were invariably "out-siders" with very few locals. Perhaps this was the same for the Egerton-Warburton family in Great Budworth, and that Joseph and Mary were "transferred". On Henry Towers' birth entry in Tarporley, Mary is said to be from Rushton, which makes sense.