It was created on 8 October 1677 for Francis Anderton of Lostock Hall in the parish of Bolton le Moors, Lancashire.
They were a devout Roman Catholic family and their estate was lost by sequestration in 1615 due to recusancy but was restored after the English Reformation to Francis Anderton the first Baronet.
On the death of the third Baronet, his heir, his brother Lawrence, a Benedictine monk succeeded to the Baronetcy but relinquished his claim to the Lostock estate.
However his younger brother Francis, a Jacobite, was convicted of High Treason for his part in the Battle of Preston (1715) and the estate was again lost by sequestration.
Francis was pardoned and on his death succeeded to the Baronetcy but he did not recover the estate which passed to his sister and her husband.