It's perfectly true that his travel to the colonies was paid for by a Robert West, and it was highly probable that it was because he fought and was captured by the British Forces in the conflicts between England and Scotland during Cromwell's Government.
However, I am afraid that which battle he fought in is still very debatable. If it was the Battle of Worcester, the odds were good that he was born in the lowlands instead of the more rugged highlands of Scotland. So many of Scotland's soldiers were lost in the Battle of Dunbar that the military commanders drew rather heavily on the lowland Scots for the soldiers who fought at Worcester.
I, personally, would tend to opt for the Battle of Worcester for one primary reason: I do not belive that anyone wishing to claim headright lands would wait more than a couple of months before making formal application for it, nor that the colonial officials were so terribly overloaded that an actual grant would be delayed for a year or more after application. Six months from arrival to grant seems to be a far more reasonable time frame, I would think.
Our Robert was born 3 Apr 1633 and died a few months shy of aged 52, which for that time, place, and it's antiquated and less than advanced medical practices was certainly not as young as it would be, given today's life expectancies.