The Coventry Machinists' Company Ltd. was the first English industrial bicycle maker and they were market leader through the 1870's and 1880's.
When Rover entered the market with their safety bicycle in 1885, CMC had to keep up. At first they copied the design, but this model A (as mentioned in the catalogue of 1891) was one of their attempts to introduce another model. It was their top model in '91. All CMC safeties were marketed under the name 'Swift'.
This rare example is in the collection of Museum De Waag in Deventer (Netherlands), alas not open for the public any more. I did not find any serial number.