what were the two governing ideas influenced by john locke did the colonists bring with them from England 1607?

I believe those ideas are: Natural rights and the right to own property.

Both of these ideas was brought from the enlightenment period where most society in Western Europe started to favor a government system where the citizens hold the majority of the power.

Natural rights is provided to protect the citizens ever since they are born and the government could not cross those rights under any circumstances. The right to own property was intended to give incentives to the private sectors so citizens could have control over the economy.