Nickname Only
 
293 Phillies
318 Twins
343 Senators
 
Full Team name
 
27 Mets
87 Cardinals
132 Braves
151 Athletics
172 Indians
213 Angels
237 Cubs
257 Giants
 ...
373 Pirates
403 Reds
433 Yankees
473 Orioles
496 White Sox
531 Dodgers
579 Red 
 
Oddly the two teams that are Identified as nickname-team are the Twins and Senators - Which are teams that are connected because the Twins were once the Senators. Apparently among the variations in 2013 Topps Heritage are cards of Nationals players labeled as Senators.