Um... Settings>Game Settings>Default to history>Enabled should do the trick? Or it doesn't work like that when you already in that game? I'm too lazy to check.
As for Kain idea, I think there already is uservoice for that somewhere. I'm too lazy to search for that.
Edit:
http://warlight.uservoice.com/forums/77051-warlight-features/suggestions/1920689-partial-history-see-what-only-one-player-could-s
Edited 7/4/2015 09:48:32