John,
no officer of the name of Freiherr von Ellrichshausen served in Dragoner-Regiment Nr. 25 from 1900-1914.
A Sekondlieutenant Conrad Freiherr von Ellrichshausen from Assumstadt served as an active officer in the regiment from 4 February 1884 to at least 1889 rising to the rank of Rittmeister der Reserve. He appears to have retired by 1900.
Regards
Glenn