Blonde Girl At Home On The Bed With Yellow Pillows

The main distinguishing feature is whether the pillow case is plain or with a valance around the edge. In the former case this is described as 'plain style' and in the latter as 'Oxford style'.
"Oxford...has a 5cm-10cm valance round all four sides. With a hemstitched or corded decoration around the inner edge of the valance"
The opening/closure of pillow cases ranges from the straightforward approach in USA called simply 'bagstyle' to the more usual European method with a pocket inside the open end to fully contain the pillow. This is Housewife style.