Ithink that's a South Bend lathe
When you post possible candidate identifications, there is one very important thing you have to do. That is to look at the picture of the machine in question, look at the possible candidates and identify features in common.
What can we see on the lathe above? Two things stick out: the horizontally-split change gear cover and the tumbler selector handle just above that split.
Would you be so kind as to point out where you see these features in any of the photos on the pages to which you link. Thanks.