I'm not clear what sort of Irish records you were looking for ... the dates are after the two available census returns, the BMD Index in available free on FamilySearch, but you would need to order research certs to check the details.
There is a possible child registered to the couple that might be worth checking out - an Elizabeth Fryberg, born in Naas district (Co. Kildare) in the last quarter of 1920, could fit with that marriage...
The index references are :
Name : Elizabeth Fryberg
Record Type Birth
Quarter and Year Oct - Dec 1920
Registration District Naas
Volume 2 / Page 693
A cert would show parents names, date and place of birth, father's occupation etc, and help confirm or rule out this as a connection..
dont know if you have a marriage cert already - if you need one you can order a research copy from the GRO for €4 using the following references :
Name : Horace Harrington Fryberg
Record Type : Marriage
Quarter/Year : Jan-Mar 1920
Registration District: Dublin North
Volume: 2 / Page : 520
To search for travel records I'd start at the destination, as it's more common that records were kept there rather than at point of departure. Many people travelled to the US via England, so also worth checking for arrivals in the US from Southampton, Liverpool etc
p.s. is there some connection to County Westmeath ?
that's the section this topic is posted in...