Interesting connection, Len.
Here is the Blythswood Rd premises now - likely the site of Rhode Cars, possibly even the same building.
I've delved a little into this firm and come up with the following:
Mead and Deakin was a partnership of Frederick William Mead, born 4th quarter 1879 Aston vol 6d page 283,and Thomas William Deakin, born 1879 or 1881 or 1884.
Mead and Deakin's works is listed in the 1925 phone book as Bushy Lane, Tyseley (which should really be Rushey Lane) - phone Acocks Green 92.
The Rhode Motor Company is listed at Blythswood Road - the factories probably backed onto each other. Acocks Green 381.
Frederick William Mead is in the 1911 census as a Motor Engineer, living with his parental family and siblings at 61 Ladypool Rd, Sparkbrook. By 1920 he had moved to The Harbour, Bidford on Avon (once a farm but
now a guest house with a small housing estate built on some of the farmland) and married locally to Gladys Goodall in 1914. By 1925 he was at 'Norwood', Solihull.
The Meads had four recorded children, Richard b. early 1915; Ronald, b. early 1918; Janet, b. late 1918; and Diana, b. mid 1923, Solihull district (the others were Alcester district, which includes Bidford).
In the 1920s Thomas William Deakin lived at 'Foots Cray', Dorridge (phone Knowle 111) Sadly his name is too common to trace accurately further at this time.