Nope, my "Ziemer" is a Friesian name, common in Northern Germany / Pomerania and also with some family members in Hesse. I am sure it is common throughout Germany today, but was very highly concentrated just east of Stettin before 1700. At least, that is my impression.
Anyhow, it may be associated somewhat with the name "Ziemann", but is a distinct name.
Penny Ziemer Ford
Denver, Colorado