I doubt it. D.H. Lawrence was English, and there are no American robins (
Turdus migratorius) in Britain; the English robin in completely unrelated, not being thrushes like the American ones are, and has
brown eggs, not blue ones. That same reasoning also rules out bluebirds (genus
Sialia from the Turdidae family), another kind of American thrush similarly absent in Britain. There are, however, European turdids of varying sorts, which are all named either blackbirds or thrushes, depending, which might have the correct eggshell color. —
tchrist 1 min ago