Ginko Bilboa? Looks similar but not quite..... or hankerchief tree?

I don't know what it is, but its definitely not Gingko - I have that in my garden and the leaves aren't like this.Nor is it Davidia - very curious as to what it is, will do a bit of research, but I hope someone comes up with a name.
Right, done my research - I'm wondering if its Liriodendron tulipifera, commonly known as the Tulip tree.

You are right Bamboo, It is a Liriodendron tulipifera. In other words, a tulip tree! There is one in a garden I pass frequently and it puzzled me. Last week I saw the owner and asked if she knew and she gave me all the info. Be careful where you plant it though because it could reach 18-25 feet high and 10-15 feet spread. Good luck with it.

Liriodendrons (very close relatives of the Magnolias) are amongst my favourite trees - they are full size forest trees and both species can actually reach around 70 feet in height and spread - there's a fantastic mature avenue of L. tulipifera at Westonbirt Arboretum.

The flowers are spectacular too, but only start being produced one the trees are 20 years or so in age. Our eldest one is about 15 years old now, so, hopefully, there's not too much longer to wait!