Question Author
I've managed to find the answer to my own question . Here's the answer, in case anyone else needs it:
1. GO
2. WEST PIER (brown)
3. COMMUNITY CHEST
4. PRESTON PARK (brown)
5. INCOME TAX
6. BRIGHTON STATION
7. BRIGHTON PIER (light blue)
8. CHANCE
9. MARINE PARADE (light blue)
10. BRIGHTON DOME (light blue)
11. IN JAIL/JUST VISITING
12. HOVE LAGOON (pink)
13. ENERGY PROVIDER
14. BRIGHTON & HOVE ALBION (pink)
15. COUNTY CRICKET GROUND (pink)
16. VOLKS ELECTRIC RAILWAY
17. THE LANES (orange)
18. COMMUNITY CHEST
19. NEW ROAD (orange)
20. CHURCHILL SQUARE (orange)
21. FREE PARKING
22. MADEIRA DRIVE (red)
23. CHANCE
24. QUEEN'S ROAD (red)
25. GEORGE STREET, HOVE (red)
26. HOVE STATION
27. PORTSLADE (yellow)
28. BRIGHTON MARINA (yellow)
29. WATER WORKS
30. ROEDEAN WAY (yellow)
31. GO TO JAIL
32. UPPER NORTH STREET (green)
33. MONTPELIER VILLAS (green)
34. COMMUNITY CHEST
35. MARLBOROUGH PLACE (green)
36. LONDON ROAD STATION
37. CHANCE
38. KING'S ROAD (dark blue)
39. BANK DEPOSIT
40. ROYAL PAVILION (dark blue)
My list is compiled from an image of the Brighton & Hove Monopoly board and these are the exact titles of each square. Almost all squares seem to be sponsored by a related organisation (e.g. 'Marine Parade' is sponsored by The sealife Centre and 'Energy Provider' is sponsored by SEEBOARD) which may explain some of the strange entries on other web-based lists. I've double checked the spellings (e.g. 'Churchill', 'Montpelier') and can also confirm that no abbreviations are used on the board (e.g. B&H)