How to install TortoiseHg on ubuntu 19.10
The latest version of TortoiseHg for Debian based OS is 4.8.1-0.1 (as per Debian search results). The same version is available in Ubuntu's pool of archives (and can be found by searching on Ubuntu Packages*) and the dependencies can still be satisfied in Eoan Ermine (19.10) without any extra work.
To install run:
wget http://ftp.us.debian.org/debian/pool/main/t/tortoisehg/tortoisehg_4.8.1-0.1_all.deb
sudo apt install ./tortoisehg_4.8.1-0.1_all.deb
*Thanks N0rbert for reminding to include the link.