Ah, I see where you are going with this. There are two rulers of the 8th house. So one 'lost' is ENE and the other 'lost' is WSW.  Got it, I had been able to do that, but what I was trying to do is find the direction the boys went in to party with the girls when they left home and how far from home they were. I came up with 2 miles NE, but I have to be wrong because there is no house, meaning brick and mortar, 2 miles NE of where the boys left home.
Neptune is also secrets so I think the boys had a secret, which got them into trouble in the first place, I think,  but I have not been able to figure out how to unravel their secret. Do you know how to do that? I do have the natal charts and will put them up after I take the personal data off.

Yes, you are right, Virgo is one 'lost' and Pisces is the other 'lost'

One thing is not clear to me though - when were
the authorities called - so to speak an official
notice of the boys being missing ? Usually,
using that moment gives the solution.

Mercury is an alluring ruler in this case though ...

The Police were called approximately 12:00 midnight.

Mercury? I thought it was Neptune which is clouding the findings? It certainly is throwing up a lot of smoke and mirrors. For me anyways.

Airgon, This is the chart I started with. I had to delete the chart because it didn't go through properly. I will try again.......in a bit.