"Oak Town, Enclosure in the Oak Forest"
from OE ac = Oak tree, tun = enclosure, farmstead, village
Acton Vale is properly shown as Acton Bottom (OE botm = valley) on the map.
Berne 1086 Domesday Book.
"[Place by] the Barn(s)"
from OE Bereærn = Barn; where Bere = barley (hence, beer), ærn = store, building.
"Ford over the River Brent"
Ceswican, ca 1000.
"Cheese Village or Farm"
from OE Ciese / Cyse / Cæse / Cese = cheese; wic = farm, small village.
It is attractive to think of the milch cattle grazing down on the meadows near the river and being led home for milking every evening in the little village.
Gillingas, ca 698.
"[Settlement of] Gilla's people"
from OE Gilla (personal name, pronounced 'Yilla') and inga = people.
Gounyldebury 1334.
"Gunnhildr's Manor House"
from Gunnhildr (Norse personal name), ME bury from OE burh = fort, stronghold
Hamersmythe 1294.
Possibly "Hamoder's harbour (hythe)"; "Smithy where hammers were made/used" seems fanciful.
from OE Hamoder (personal name); hyð = landing place, harbour, creek, port
Cayho 1327.
"Spur (of land by) a Quay", or "Key-shaped Spur"
from OE caeg = key, hoh = heel, spur; or ME key = quay.
"Turnstile on the road to London", presumably a turnpike where a toll was collected.
from Londinium 115 (mentioned by Tacitus, Antoninus); a Latin name, possibly derived from a British (ie Celtic) root.
"Brook with a Stony Ford"
from OE stan = stone, ford = ford, river crossing.
It was still called Stanford Brook, visible for most of its length, in the19th Century, as you can see from the map.
"Beach (village with a) Green"
from OE strand = beach, strand, sea-shore
"South Village"
from OE suth = south, tun = enclosure, village
"Village Green"
from OE ham = village, grene = green
Discovering Dickens has this: "The Annual Register of 1776 records that on September 6,
The lord-mayor of London was robbed near Turnham-Green, in his chaise and four, in sight of all his retinue,
by a single highwayman, who swore he would shoot the first man that made resistance, or offered violence."
Wormholte 1200
"Snake (or Dragon) Wood"
from OE wyrm = snake, dragon, reptile; holt = wood; Scrubs (scrubland, bushy place) added later; Wormholt Farm lies to the south of the Scrubs.