Doesn't feel like a CdC catalogue format...
I couldn't find the Barnard catalogue in the CdC webpage (
https://www.ap-i.net/skychart/en/download) but Martin Schoenball has a Lynds Dark Nebulae catalogue - contains the Barnard objects)
http://www.schoenball.de/astronomie/cdc/cdc_en.htm
This has the necessary search index...
Screen shot of b32 (no space between B and number).....
Hope this helps.