I have a nearly identical 3 speed bike with huffy badges, and marked "made in England". When I dated mine I believe it dates back to 1962, as that is the date stamp on the Sturmey Archer hub. The bike came with the same style frame, wheels, stem, handlebars, fenders, etc. It also came with a different designed but similar brooks saddle, and crank ring. To me they appear to be the same bike, with different badges.
When I researched my bike, I came to the conclusion it was made by Raleigh.
Your photo of your bike got me curious, and I wanted to see what the connection was. I just found this timeline on Sheldon Browns site.
http://www.sheldonbrown.com/retroraleighs/history.html. It looks like Raleigh purchased Rudge-Whitworth in 1943.
1886 Three Englishmen - Woodhead, Angois and Ellis - begin building bicycles in a small workshop on Raleigh Street, Nottingham.
1887 Alfred Milward Reynolds invents the process of butting (of tubes).
1888 Frank Bowden purchases the Woodhead/Angois/Ellis bicycle workshop on Raleigh Street and renames it the Raleigh Cycle Company. At this point there are about a dozen employees and production is three high-wheelers a week.
1889 Reynolds founds the Patented Butted Tube Company.
1895 British stockbroker Terah Hooley buys controlling interest in Raleigh.
1896 Fred Hanstock builds the first Carlton bicycles in Carlton, England.
1896 Raleigh has the world's largest bicycle factory, occupying 7 1/2 acres. There are about 850 employees and production is 30,000 units per year.
1902 Raleigh buys Sturmey-Archer.
1923 Patented Butted Tube Company name is changed to Reynolds Tube Company, Ltd.
1930's Carlton bicycle factory moves to larger facilities in Worksop, England.
1932 Raleigh buys Humber Cycles.
1935 Reynolds 531 manganese-molybdenum ("mang-moly") tubing is developed.
1938 Raleighs first exported to Canada.
1943 Raleigh buys Rudge-Whitworth.
1953 Raleigh buys the Triumph Cycle Company.
1957 Raleigh buys BSA (Birmingham Small Arms).
1960 Raleigh and the Tube Investments Group (aka TI) merge, forming TI Raleigh.
1960 Raleigh purchases the Carlton bicycle factory in Worksop. Production of all handbuilt, Reynolds 531 frames are moved to Worksop.
1972 Raleigh opens factory in Waterloo, Quebec, Canada.
1974 TI Raleigh completes its Ilkeston factory. Specialty bicycle section (handbuilt one-of-a-kind frames) is moved from Worksop to Ilkeston.
1975 Reynolds 753 tubing is introduced.
1977 Reynolds Tube Company, Ltd. name is changed to TI Reynolds to reflect the growing diversity of the company's products.
1979 Production of Raleigh 531DB-tubed bicycles reaches 10,000 units a year.
1982 Rights to the Raleigh U.S.A. name are bought by the
Huffy Corporation. Better models from the Huffy era were made in Japan.
No more British-made Raleighs will be imported to the U.S. from this time forward.
Does anyone know more about the connection between Rudge / Raleigh / and Huffy?
Note to Harpro: You mentioned you believe the grips are incorrect. Mine cam with White Grips, ribbed in the palm with finger notches, and Carlisle Super Ride tires. Whether or not that was original equipment, I do not know. I just checked the brand on the grips, and they are also made by Hunt Wilde, Your grips may be original.