hi,
Liberty and W Morris were as one, and l would say you would be fine stating the first one is a william morris design, l am trying to locate the design for you..l think it may be tulip and willow but not certain. l think we have it at the museum l work, in the pre-raphaelite room, and l have several of these scarves myself....and grew up in a home covered with upholstery and wallpapers, myrtle being mothers favourite around the home...
of course many of these (2nd) designs, were by his collaborating designers, and are often described as the william morris 'school' or his co-workers....and they all designed for Liberty during the Arts and crafts movement which Morris initiated.
hope this helps..