Robin I broadly agree with you.

My comment re the Irish and British being the same stock is refering to pre AD 500.

I agree English Empire in France prior to Union. Although the Union was not to 1707 , from good King James in 1603 in many ways defacts union. He indeed responsible for major British settlements in Ireland.

Also not wishing to be pedantic but some may say the earliest invasions/settlements of Ireland were conducted whilst England under Norman/early Plantagenent yoke , not sure they qualify as English invasions.