Shaitel vs. Tichel

My great-grandmother, Frau Cilly Dzialowski hy"d of Leipzig wore a shaitel made from horsetail very tight on the scalp. Her grandmother, Rebbetzin Esther Carlebach o"h of Leubeck wore a tight shaitel with a little flowery "headdress" on top. Her mother, Rebbetzin Hannah Adler o"h of Leubeck wore only a tichel, as did her mother, Rebbetzin Minna Mindel Joel o"h of Leubeck. At the wedding of Rav Emmanuel Carlebach zt"l of Cologne, all the married women (in the picture) wore shaitels. And at the Bar Mitzva of Julius Carlebach, son of the banker Alexander Carlebach o"h of Leubeck, his mother and ten aunts all wore shaitels, including the wives of the six uncles who were Rabbonim.

Therefore, in MA, which was more optimal, the shaitel or the tichel (or both together)?

MPerlman

What was the practice in Germany in regard to women's headcoverings?

Did Orthodox women wear sheitels or only hats?

Was the Chasam Sofer ZT"L against women wearing sheitels?

What about todays more realistic and longer hair sheitels?

Rallis

Although the previous posting correctly stated that the Chasam Sofer prohibited Scheitel, I would like to point out that RM”A O”Ch 75:2 explicitly allows them (even uncovered even if it is usually covered). He lived more than 200 years before Ch”S. (It could be had he lived in Germany rather than Poland he might have written differently, but I do not really think there was such a discrepancy in those days.)