Kernel 5.1

[bernard stafford]

In the Kernel of # 5 Which I installed at the synaptic package manager my self.
Linux-headers-linuxlite-5.1.0
Linux-image-linuxlite-5.10
Linux-image-5.0.0-signed kernel image 0111-oem
Linux-image 5.0.0-18 generic
Linux-modules-5.0.0-18 generic
Linux-module-extra 5.0.0-18
All are signed kernels.
I am using a desktop computer.
I hope that this information helps.
All of the kernel that i have installed is 4.1 one of them is a dummy transitional package.
When you ran the Lite Tweaks Tool :  Did you check the Kernel Remover box ?
That may explain why you do not have Kernel 4.1. 
The only Items that I check mark are:
Firefox Cache  Log Archives  Package Cache  Thumbnail Catch