His son, Sir Frederick Francis Baker, 2nd Baronet, FRS was accidentally killed by the vane of a windmill.

The fourth Baronet (the title having descended from father to son), assumed in 1878 by Royal licence the surname of Rhodes in lieu of his patronymic.

He married Katharine Frances, daughter and heiress of General Sir Richard Wilbraham, nephew of Edward Bootle-Wilbraham, 1st Baron Skelmersdale.

In 1980 the title passed to his son, Sir Richard Baker Wilbraham, the eighth Baronet, who was Deputy Lieutenant of Cheshire in 1992.

The heir apparent is the current holder's son, Rafe George William Baker Wilbraham (born 1999)