Motorcycle Repair: Coolant hose routing nv/vt 750, thermostat switch, coolant level

Question
got myself a classic vn750 (85) to use during the summer months to go beach etc.

Now it was a non runner, got it running and took her for a little spin of 80km or so, the thermostat switch is broken so its got a manual fan switch .

Now thats all fine , now occassionally on stopping and switching her off, she deposited a little pool of coolant underneath, so Im thinkign loose hose or damaged coolant bottle.

Take a little look today and fine there seems to be a hose missing, cant find it and its not leaking coolant from anywhere else. so im wondering if its an overflow for the overflow

ive attached link to a diagram below as the manual i have doesnt show such detail,,

http://www.bikebandit.com/assets/schematics/Honda/H01580094.gif

no 12 and 38 appear to be missing

hose 37 is there

any help would be much appreciated espcially as now coming into summer and hot days . Its overheated now too, so maybe the thermostat is an issue too, but i want to rule out this hose issue first before starting on dismantling the thermostat

For me it would make sense that the currently connected hose (which seems to route back to the rad) as the coolant level rises in the tank, should be to the bottom unhosed hole.

The reasoning behind this is the top connection is next to the coolant bottle cap so at this point there would be far too much coolant in the tank and needs to escape.

Wherease the lower one can suck back up coolant to the rad on cooling down

Answer
Sorry Lee, that it's taken so long to get to this question.  My wireless router quit last week and it's taken a while to catch up on my backlog of question.  The no. 38 hose is the overflow hose from the radiator to the coolant recover tank.  The hose should be coming off the top of the fill neck on the radiator where the cap is installed and it then goes back to the top of the bottle.  There's an elbow or some other fitting the hose connects to on the top of the recovery bottle.  That connector goes through a grommet and has a drop tube (no.12) inside the recovery tank that draws fluid off of the bottom of the tank.

You should be able to open the fill cap on the recovery bottle an look down inside to see if the drop tube is there.  If you take the radiator cap off when the engine is cold, the coolant should be right up to the top of the fill neck on the radiator.  If it's not, the coolant recover system isn't working properly and it's pulling air back into the radiator when the coolant expands as contacts when the engine gets hot and coold down.  That air in the radiator will significantly reduce the cooling capability and could cause the engine to overheat.

Regards
Rich