Japanese term (edited): ᢊ˘Ҋ˒� (���)

There are plenty of Google hits for similar documents (e.g. http://homepage1.nifty.com/murayan-no-hp/murayan-no-hp-kamba... http://www.normanet.ne.jp/‾sij-gifu/kaisoku.pdf), and I don't think the terms are so obscure that only 漢詩 experts would have used them. 翰 in Kojien is given as 手紙・文書 while 綴 is used for just about anything that is bound. Hence I'd guess that any bound collection of letters or other documents sent & received *could* in theory be referred to 發翰來翰綴 - and even though nowadays something like 通信記録 (or 受信トレイ／送信トレイ！) would be more common, note that the PDF above is dated 2003.

The first link above is however more useful, as the context is much closer to that of the question. For example:
発来翰綴 ... Ｂ５紙片面使用363紙 ... 1935年〜1938年までの、由比町軍友会が受領・発送文書の写の綴です。
[snip]
発来翰番号簿 ... Ａ５紙両面使用56ページ ... 1943年〜1945年までの受領・発送の文書一覧です ...索引として使用できます。

This shows that military installations collated records of all(?) incoming & outgoing correspondence, and it seems likely that the label described in the question was originally attached to such a set of documents.

So what to call it in English? There are various options: book[let], log (as already suggested), record, register, chronicle, dossier? I think "file" works quite well. And although a wide variety of written items could be included within the file (as described in URL 1), the fact that they were all either sent or received limits the choice in my view to correspondence, messages, or the most "general" (particularly apt considering the 一般): communications.