Ah! Yes!
Middlemore (Edgbaston, co. Warwick; the heiress of Robert Middlemore, Esq., of Edgbaston, in. 1719, John Gage, Esq., of Firle, co. Sussex).
Per chev. ar. and sa. in chief two moorcocks ppr.
Crest—In grass and flags a moorcock all ppr.
The arms on the right (as we look at it) contain, impaled on the right-hand side:
"gules a canton argent", but it isn't clear what the charge is in the canton?
I think it may be Newport (co. Stafford). Gu. on a canton ar. a fleur-de-lis sa.