Each time you upgrade kernel on external, you can run this to update boot stanza in grub on the internal drive.
sudo update-grub
But you can also add a boot stanza to grub2's 40_custom that boots the partition, not the specific kernel. Ubuntu installs links in / (root) to boot the most recent install. Adjust example below if necessary to your drive & partition. Boot drive with grub is always hd0, but then other drives are in BIOS reported order which may vary.
Edit with:
gksudo gedit /etc/grub.d/40_custom
then, add:
menuentry "Install on sdb1" {
set root=(hd1,1)
linux /boot/vmlinuz root=/dev/sdb1 ro quiet splash
initrd /boot/initrd.img
}
Update: older installs put links in /, but newer ones now use /boot.
Changed example to show /boot
While above works, I find the drive may change when plugging in a flash drive or any other USB device. So I am converting to use labels.
menuentry "Cosmic 18.10 on sdb12 test" {
search --set=root --label cosmic_b --hint hd2,gpt12
configfile /boot/grub/grub.cfg
}