If you've got English/Scot's on your Father's side, its quite possable you've got some Irish ancestry, at some point
Irish get everywhere
Jack.
And if you're Irish, you wil have English ancestors as well.
Like everyone in the British Isles, I've got Danes, Angles, Saxons, Jutes, Picts, Ires, Britons, Scots, Celts, Phoenician, Romans, Greeks, Gauls, Persians (to name a few, specifically) and every other nationality as an ancestor, somewhere along the line.