This is a car I photographed at the Exchange Station car park in Manchester in June 1990 at the start of the Manchester to Blackpool Veteran and Vintage Car Run organised by the Lancashire Automobile Club.
It's a 1913 Peugeot Bébé and the entry in the programme of the event reads as follows:
9. 1913 Peugeot Bébé
Reg. DS 7907 4 cylinder 856 cc
(Barry Parkinson, Ribchester)
Presumably there's a misprint here as the registration number of the car is DS 7707 and there is no other Peugeot Bébé shown in the programme. Many of the other cars in the run have little programme notes telling you something of the history of the vehicle, but there are no notes about this Peugeot Bébé, just the details shown above. It was named the Bébé or 'Baby' for its small size and the 1913 version was also known as the Type BP1. You can see the Wikipedia article about the car here.