I have now also found the picture of the twin sisters and the 1911 Buick.
Buicks were all very much the same in that period, but those odd front mudguards and the headlamps look older.
The only pictures I found with similar front mudguards were on earlier circa 1909 cars.
Could the picture be from 1911 and the car earlier?
Thank you nicanary, you could have answered and won the point.