Sorry, I'd not registered the smoke from under the bonnet part......... No, that certainly doesn't sound right to me. Might be worth checking with a Ford dealer for peace of mind, really you need to see where the source of the smoke is when it happens, are there any oil leaks in the engine area to your knowledge, or maybe even an exhaust with a hole or a gasket that isn't airtight?
To my knowledge regeneration involves the engine management dumping a load of extra fuel in to raise the temperature of the particulate filter/exhaust much higher than it's normal operating temperature so that the soot and other exhaust deposits are burned off, therefore I'd expect some extra smoke but not loads- unless e.g you had oil leakage into the exhaust via the turbo or something like that.
Like you say, any extra smoke you would expect to see coming from the exhaust, if you've got a load coming up from the bonnet then I would consider that a problem and certainly not normal!