Difference between bacterial chlorophylls
From A search in Pubchem database, in substances for bacterioviridin, it seems just another synonym for bacteriochlorophyll-C. 

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The incomplete page do not show any image-entry. From another entry about bacteriochlorophyll-C, I've took the following image:


Bacteriochlorophyll-C; which is being told same as Bacterioviridin

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From similar search on same website for bacteriopurpurin, it shows, 



Bacteriopurpurin





is a Xanthophyll compound; with another similar entry Bacteriopurpurin

It is also being called Hydroxyspirilloxanthin 

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Another search reslult, Bacteriopurpurin 18, 



shows this photo: 



Which is clearly a porphyrin-type compound (With smaller 4 pyrrole-type rings) with nitrogen (N) atoms. 

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Though you have not mentioned in the original question, another such old term is Chlorobium-chlorophyll. When searched ;  there i could found one entry in the PubChem database, about chlorobium chlorophyll; which tells; it is same as bacteriochlorophyll-D, though the incomplete page does not display any structure. 

From some other entry about bacteriochlorophyll-d; the structure given here: 


Bacteriochlorophyll-D, which is being told same as chlorobium chlorophyll. Look this has a little bit different structure from bacteriochlorophyll-C (bacterioviridin according to pubchem) , because chlorophyll-D (this) is lacking a methyl group at left hand middle side of the photo. 

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However, I cannot ensure they are free from nomenclatural conflicts. IMO it is better to use modern terms like bacteriochlorophyll-a, b, c, d, e, f and g.  

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  Reference: The PubChem Project by NCBI 
  
  
  
  


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N.B. : 

To quickly find differences among some main types of chlorophylls and bacteriochlorophylls; I've attached the following diagram. Most of the pictures are taken from PubChem; two I couldn't found in Pubchem, so I took them from a PMC articles. All are linked below the diagram.


Comparisons among some chlorophylls and bacteriochlorophylls. 

Sources: 


Chlorophyll-A : PubChem, Wikipedia .        
Chlorophyll-B : PubChem, Wikipedia .         
Chlorophyll-C1 : Pubchem (PubChem also tells as "Chlorophyllide C1") .           
Chlorophyll-C2 : Pubchem (PubChem also tells as "Chlorophyllide C2") .        
Chlorophyll-C (C1, C2, etc): Wikipedia .         
Chlorophyll-D : PubChem, Wikipedia  .          
Chlorophyll-E: No records seen. 
Chlorophyll-F: PubChem .       
Chlorophyll-F ' : PubChem .     
Bacteriochlorophyll-A :  PubChem . 
Bacteriochlorophyll-B : PubChem . 
Bacteriochlorophyll-C : PubChem (Bacterioviridin) .   
Bacteriochlorophyll-D : PubChem (Chlorobium chlorophyll) .    
Bacteriochlorophyll-EF : A PMC article  * .        
Bacteriochlorophyll-FF : same PMC article  * .    
Bacteriochlorophyll-G : PubChem .     


The PMC Article * : Bacteriochlorophyll f: properties of chlorosomes containing the “forbidden chlorophyll”, by Vogl, Tank, Orf, Blankenship, Bryant. 

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