I thought "That is the sort of common name that will probably belong to several species" , Looking it up I got
"dayflower, any member of the genus Commelina (family Commelinaceae), which includes about 100 species of weak-stemmed herbs of wide distribution,"
From the picture I guess it is one of them, but there were a couple of other genus called it as well
Widespread was certainly right, species from the US to Bengal and stops in between.