Adicione "title" sob as definições dos terminais na configuração do Terminator, veja o título em terminal1 no exemplo:
[global_config]
[keybindings]
[layouts]
[[test]]
[[[child0]]]
fullscreen = False
last_active_term = 0630e644-7c41-4da8-8fbd-85e36b825ab2
last_active_window = True
maximised = True
order = 0
parent = ""
position = 0:0
size = 1920, 1147
title = "Look a window title"
type = Window
[[[terminal1]]]
title = "Look a terminal tab title"
order = 0
parent = child0
profile = default
type = Terminal
uuid = 0630e644-7c41-4da8-8fbd-85e36b825ab2