Yes, they were made by EG.
The all-leather heel with close-set nails dates them quite early. By the mid-70s they were already using a leather heel with rubber top lift.
And while accepted wisdom has said that Brooks Brothers began offering ready-made Peals in 1965 when the bespoke Peal operation ceased, I have seen a newspaper advertisement for Brooks Brothers offering Peal shoes, ready-made. It is dated 1936. I don't think these are that old, but I'd place them in the 60s.