I know that many UK company names that perhaps appear to have been established many, many years in the UK are not always as they appear (Example Qualcast, MG, Volvo etc, etc) and are often far eastern/Indian companies simply licensing the brand names and looking to benefit form quality/respect that brands once originated in UK and USA. Exide's head office is based in India and manufacturing is also carried-out in Singapore and Malasia. Not in any way saying the products are inferior.
I have a Yuasa battery in my C3 (sourced from Tanya). Yuasa are a Japanese company but do actually manufacture in the UK and for many years have been the preferred supplier of batteries for the fire and intruder alarm industry.