Well, the trade winds did blow 2000 years ago.
It's not terribly suprising that Romans might have visited Texas, or other places in the New World. I can imagine that of the million of Roman ships that travelled over their empire, a few would have gotten lost and possibly wound up in the New World. I highly doubt that such voyages would have been anything more than one-way trips.
Given the tremendous amount of documentation we have from the Romans, if there were active trade routes or bilateral contacts between Rome and the New World, we'd know about them.