The heir apparent is the present holder's son the Hon. Thomas Edward Greenall (b. 1984)
Arms
Coat of arms of Baron Daresbury
Crest
Between two wings Or a pomme surmounted by a bugle horn as in the arms.
Escutcheon
Quarterly 1st & 4th Or on a bend nebuly Vert three bugle horns stringed of the field (Greenall) 2nd & 3rd Argent five pallets Sable the centre pallet charged with an Ermine spot of the field.
Supporters
Dexter a bull Proper sinister a bay mare mane and tail Sable charged on the shoulder with a sprig of two oak leaves Or.