I have a Tag SEL Sports Elegance WG1113 watch. Does anybody happen to know what battery it is likely to have and which is the best replacement watch battery brand ?

 

I can’t help with model number but I have seen a lot of watches with Renata batteries.

 

Hi, I believe the movement is the eta 955.122, which would mean a 371 or 395 would work.....the 395 is slightly deeper but is also seemingly the popular choice. As Pitfitter said, Renata is the 'go to' choice but any well-known brand should be OK also.
Best,
Steve