I have no idea from where this labels originates; there are no references in any if the references I have. 

There was a recorded Australian jazz group called The South Coast Stompers, but that would be pushing the credibility to suggest that they are The Southern Stompers as per the label example. There is nothing to suggest that it is specifically a British or a USA label. Judging by the label, it is no doubt a private pressing, perhaps of a jazz club. But from what master? And is The Southern Stompers a pseudonym? 

Record in collection:

J0287 sc3+ RISTIC
3 No.30 of 100. JOSHUA FIT DE BATTLE OF JERICHO  (Trad.)  The Crane River Jazz band.
3 No.30 of 100.  CAKE WALKING BABIES BACK HOME  (Williams, Smith, Troy). The Southern Stompers.
[Note: the 'No.' is  hand written on the label].