Both Ulrich and his father Jacob are showing born about 1500. I'm tracing a DNA cousin on Ancestry who has these in her tree. She has Jacob's info as:
Born abt. 1608 abt Oberbach,Ruderswil,Bern,Switzerland
Died; Emmantal, Switzerland
and Ulrich's info as:
Ulrich Eichenberger
B:1635 Rüderswil, Bern, Switzerland
D: Emmantal, Switzerland
Also, she has this info on Ulrich's mother Barbara:
Barbara Steinmann
B:1612 Lauperswil BE
And this info for Ulrich's wife Elizabeth:
Elisabeth Otzenberger
B:1640 Rüderswil BE
I can't vouch for the accuracy of the info she has in her tree, but since it varies so much on the dates, I thought I'd share so you can perhaps do further research to make certain what is posted here on Geni is correct.