I was in the midst of typing, when I noticed your post #8 ..... so try this
Repeat as before
check that all PC's/Laptops have the same Advanced Sharing Settings,
(Control Panel > All Control Panel Items > Network & Sharing Center > HomeGroup > Change advanced sharing settings)
select Turn on network discovery, turn on automatic setup of network connected devices, Turn on file & Printer sharing, Allow Windows to manage homegroup connections (recommended)
goto Control Panel > File Explorer Options ..... View, check Show Hidden files, folders, or drivers
on all PC's/Laptops goto c:\windows\serviceProfiles\LocalService\AppData\Roaming\PeerNetworking
empty the folders & files in PeerNetworking ( do not delete the folder PeerNetworking)
on all PC's/ Laptops goto Homegroup
(Control Panel > All Control Panel Items > Network & Sharing Center > HomeGroup)
Leave the homegroup, shutdown the PC/Laptop until all three are shutdown,
charge up Laptop 1 & Laptop 2,
this is new
Turn on PC, goto Control Panel, Troubleshooting,
(top left) View all, right click HomeGroup, Run as administrator, click Next, click Troubleshoot network problems,
hopefully they will fix any problems or display Troubleshooting couldn't identify the problem, click close (on both in turn)
In the Search bar type services.msc and search the list for homegroup listener and homegroup provider, peer network grouping, peer network identity manager.
each should be showing Status Running & Startup Type Automatic or Automatic (Trigger Start),
if not double click on them, in the general Tab set Startup type to Automatic,
Service status (below) should show Running, with Stop enabled,
if its showing Stopped, click on Start
next - Allow Full Control to MachineKeys and PeerNetworking folders,
Find: C:\Program Data\Microsoft\Crypto\RSA .... right click on MachineKeys Folder, choose properties,
Security Tab, Group or user names, (you should be listed as Administrator)
[right click Taskbar, left click Task Manager, goto Users Tab, you should be listed there also]
if you are listed, in the Security Tab, click on yourself to highlight, then click Edit,
click on yourself again to highlight, then check the box Full control,
(this should automatically check Modify, Read & execute, List folder content, Read, Write ... if not check them manually)
click OK, ignore the error notice & click Cancel, click OK on the Windows Security notice,
click ok on the Permission for MachineKeys, ignore the error notice & click Cancel, click OK on the Windows Security notice, click ok on the Permission for MachineKeys,
in the MachineKeys Proprties box highlight your name & it should show Full control etc checked (Special permissions will NOT be checked)
click OK to close the MachineKeys Properties
next Find: C:\Windows\ServiceProfiles\LocalService\AppData\Roaming .... right click on PeerNetworking Folder, choose properties,
Security Tab, Group or user names, (you should be listed as Administrator)
[follow steps above to give you Full Control]
setup Homegroup on Desktop
close down Desktop PC ...... switch off Modem/Router ...... make a coffee
switch Modem/Router back on ...... drink coffee ..... turn on Desktop PC ...... check the charge rates on Laptop 1 & 2
if above 75% select laptop with highest charge, switch on Laptop,
repeat from this is new above for first Laptop [join Homegroup on Laptop], then repeat for second Laptop