Hello Warren,
From the IGI - all 'extracted' - a Yossans Ulrick married a Jessie Dickson on 10 JUN 1864 Kilmarnock, Ayr, Scotland
The couple then as John and Jessie Ulrich had the following 3 children.
HENRY ULRICK Birth: 12 JUN 1864 Kilmarnock, Ayr, Scotland (note the spelling 'k')
ROBERT ULRICH Birth: 11 MAY 1872 Kilmarnock, Ayr, Scotland
ROBINA ULRICH Birth: 08 NOV 1873 Kilmarnock, Ayr, Scotland
Downloading one of the above 'extracts from
www.scotlandspeople.gov.uk will get you back another generation on each side.
However, if you look at the IGI census records for the USA (1880), it'd appear that there were other Ulrichs born in Scotland in the 1840's
Good luck.
Regards, Steve :O)