Royal Enfield, obviously, did not exist back then. It turns out Redditch did not exist either. Bordesley Abbey only got built in 1138. Enfield, on the outskirts of London, did.
But three small settlements in the area of Redditch are listed. None of them covers the area where the main Royal Enfield factory in Hewell road was. However, two of the settlements have a connection.
Feckenham (Doomsday entry) still exists today. Moreover it is the site where factory number 4 was. Today it looks like a quaint little village near Redditch, but in the Domesday it appears to have been a powerhouse, it had 63 households, which puts it in the top 20% of listed places. Apparently a moat and some buried archaeological deposits dated to the 12th Century survive and they sit just in front of where the factory was!
Tardebigge (Doomsday entry) is to the northwest of the main factory. If you continue along Hewell road it branches out into several roads, if you follow Brockhill Dr., it eventually turns into Hewell Ln., and after a couple of miles you reach Tardebigge, which is a lock and wharf on the Worcester and Birmingham Canal. Although I found no records, I bet supplies for the factory were carried along the canal, especially in the late 1800's or perhaps in the precursor Givry Needle Works, which were started in 1851. There definitely are records of needles being exported through Tardebigge. A canal spur into Redditch was planned but never carried out due to the hilly terrain in between.
The third place named is Ipsley, it is to the east of Redditch center. Today it is mostly residential. I found no connection to Royal Enfield, except the Bullet Sculpture is really nearby.
