Startup screens on last used monitor

In a multi-monitor system, please can we have the program remember which monitor it was last used on, and start on the same monitor next time?  This means the last used monitor, not just the default monitor for that system.  My laptop screen is the default monitor for Windows apps, but when it is docked I always use the second LCD monitor for all my work and playing Minecraft.  It would be really nice if Minecraft started up on the second monitor rather than the default monitor, because once it goes full screen I cannot move it without having to take it out of full-screen mode first; and I have to do that every time it loads.  Obviously if the second monitor is no longer attached then it should start on the default monitor instead, but if there is more than one monitor, the last one used would be better.