That looks like an original oil feed pipe to the rockers. If you are not yet having problems with the solder to the unions fracturing, I would suggest you are likely to shortly. The solution is to anneal the pipes between T-piece and rocker banjo - heat till red hot then allow to cool. Then re-solder the unions and it should be good for another 20 years or so.
I wish I had known that when I was running a 1957 VH as a student 40 years ago.
36 4G, 37 VH, 54 KH(A), 75 Healey 1000/4, 52/53 ex ISDT KHA (project).
Former Machine Registrar & Archivist, General Secretary and Single Spares Organiser (over a 25 year period).
Now Archivist once more - but not Machine Registrar.