Just for a little help - I use a wonderful site to do my research on the Detmold-Lippe area. I don't know if any of these people fall in your family group, but here is some information for you:
Henriette Luise Wendt (Beine)
oo K 04.08.1839 Wöbbel mit Friedrich Wilhelm Christoph Beine, * 1822 (v) Belle (?).
Kinder:

1) Sophie Friederike Wilhelmine Luise Beine
* 15.03.1840 Belle, † 28.05.1840 Belle (?)

2) Friedrich Heinrich Carl Christian Beine
* 17.08.1841 Belle

3) Sophie Luise Wilhelmine Beine
* 05.10.1843 Belle

4) Friederike Luise Henriette Beine
* 12.11.1845 Belle

The website is free and is composed of a group of dedicated genealogist from that area who are transcribing church documents and ship manifests for the people who left this area. If the information you seek is not there - you can email them and they may be able to assist you in your quest.
Website address is: http://www.lippe-auswanderer.de/index-eng.htm
Good Luck! (there are other Wendt families on the site also this one happened to be from Wobble)