That would qualify as a corrupt System Reserve partition.
The following is ONLY for BIOS / MBR machines
Boot the machine the same way you were to do the restore
Press Shift+F10 - that should open a command prompt
Take a camera pic of the diskpart and I can help walk through it
Otherwise, if you're comfortable with diskpart, you want to select the main drive in the HP desktop (the drive you want to restore the image).
If it's a base machine (no additional drives added) You'll want disk 0 (I'll use that in the example ..... your disks might be different
Launch diskpart, enter the following commands
sel dis 0
cre par pri size=450
format FS=NTFS Label="System Reserve" Quick
cre par pri
format FS=NTFS Label="Windows 10" Quick
That's my best guess at how your disk was partitioned. If you know something was different - please tell me