Hi.
In most cases, there is no, repeat no, fixed mapping between family
name and kamon. There are kamon dictionaries which list family names
associated with individual kamon, but that is as close as you can
get. If you are able to do detailed geneological research and you
happen to be particularly lucky, you may be able to trace an
individual back to a premodern kamon used during the Sengoku period
or earlier. However, this is a distinct minority of cases. A lot of
Japanese families which claim ownership of some kamon or other can
only trace this use back to the late 19th century when all Japanese
were given permission to adopt kamon.
According to Shintoh Kenjiro in 姓氏家紋の辞典 there is a
Shijoh 四条 family descended from the Northern Fujiwara in the third
generation. However, this line is not common enough for the kamon in
question to appear in the book.
Regardless. The following web page claims to have an entry for the
Shijoh family.
http://www.f2.dion.ne.jp/~a-tom/newpage11.htm
It is called the 田字草紋 (denjisômon).
It is the second kamon from the left on the top row on the following
web page.
http://www.harimaya.com/o_kamon1/zukan/syokubt.html
Or more specifically:

You can check out the actual plant at the following web page:
http://aoki2.si.gunma-u.ac.jp/BotanicalGarden/HTMLs/denjisou.html
Again, there is no particular reason to believe that the family in
question has any historical use of this kamon.
Best Wishes.
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