Near the oil filter is the oil pressure switch but I wonder what the second one is?

Isn't one the oil pressure switch and the other for the pressure gauge?

That's what I'd have thought too.

Similarl to the VDO sensors I fitted to a Guzzi special and as suggested above. A "T" adaptor allows both from the single pressure take off.

Did the same to my LR S11a to add an oil pressure gauge

As said one for the gauge one for the switch

as i did to mine...not a good pic but shows the adaptor to enable both switch and gauge ..

Thank you for your comments!

As you see on my picture there is only one switch connected.

The large silver bit of kit is the pressure transmitter, depending on the number the range could be 0 to 10 bar or 0 to 7 bar. I'm told by Ian John at Caerbont that Morgan invariably specify the incorrect range. Not that that would matter too much as the accuracy is "heaven knows" Ian would not declare any accuracy saying the it was for "indication". I pulled one to pieces and its a lever moving a slidewire over a wire wound resistor, early 19th century technology but admirably suitable for the indicator that it sends its signal to. So don't pay too much attention to what it reads as far as accuracy is concerned.
Can't quite see the other properly but its probably an RTD (resistance temperature detector) thats what i have installed there and it transmits to an oil temp gauge which i had Ian make for me. I also have an RTD installed in the ally Raceline sump as an optional monitoring point. Wish i could post a photo I'd post the calibration readings that i took.