John - My husband was a TD man. I got that book from my library and it does have a listing of members. However the names I recognized were those of men who belonged to the reunion groups. Women are included and names of organizations who gave them money. Now your reunion group might have done better but my husband was a member of the 893rd all through the war but never attended a reunion so was not on the list. First because they were held in the East and we were Western and Don never received a notice. Probably because he had moved from his enlistment place. It is not really a book about all the TD Bns but mostly about the groups who belong to that Society of TD Bns. If your Bn was one you just might be in luck.
I'd suggest that you ask your library at the info desk. If they do not have it they should be able to get it for you.
The author is Lonnie Gill who was/is the historian of the BNs that belong to that society. Mary