To the best of my knowledge, this is 'ssh' changing the title when you first ssh into a remote system.
Then it is possible for the remote system to issue ecape sequences that change the title after you login, via the destinations account's shell initialization files.
If you control the destination system accounts, then put your own title escape sequence into the destination account's shell initialization file.
For example, if the destination system uses 'bash' as the shell, you could add the following to the .bash_profile
echo -ne "\e]0; Whatever you want in the Title \007"
If applications you run in the remote system also change the title, you can add the escape sequence to your remote prompt. Again for 'bash'
PS1="\[\e]0; Whatever you want in the Title \007\] your normal prompt> "
Besides that, I think your only other options are to either replace ssh with a version that does not change the title, or find an alternative terminal emulator that does not support changing the title.
iTerm has an iTerm -> Bookmarks -> Manage Profiles -> Terminal Profiles entry labeled "Keep default title with dynamic titles", but I'm not sure what that does, so you would have to experiment. <http://iTerm.sf.net>