The four lines of the Geittmann family are:
Oestricher, Gustrower, Woltersdorfer, and Moitiner. The possible spellings are Geitman, Geittman, Geitmann, Geittmann, or Geithmann. I have some familie history on each of the four lines. My family is of the Gustrower line. Complete names if you have them and any info you have I can use to match to the family lines and hopefully point you in the right direction.