There is validity, however, in the belief that the Ancient Greeks and Romans had discovered some form of flattened dough - this a broad noodle called in Greek 'laganon.' It is significant, however, that this was not boiled as we boil lasagna noodles, but roasted on hot stones or in ovens - more related to what we would think of as pizza.
Apicius, a Roman writer of the first century AD describes a pasta made "to enclose timballi and pies..." These were called "lagana.' The recipe for the dough is not given, however there are suggestions for layering and seasoning with meat and fish.