I just discovered something that might be of use to you: once a large group of Palatine families (families who fled Germany/Palatinate around 1709) were settled in Ireland by Queen Anne of England, they anglicized their names or the names were anglicized for them. I have a Lawrence in my family and didn't realize til a few days ago that the name was really Lorentz!
This website costs money to search, but once you get some background you can see some things for free-like search for Dolmages(Dolmetsch) and Lawrences--also check Laurence.(Lorentz)
Please look at the Irish Palatine Association's website--they'll give you lots of info on the families that stayed in Ireland, contacts back to Germany, and families that emigrated throughout the years to America and Canada.
Also, this is a short intro on the Dolmage family from a descendant in Australia (I copied this from Ancestry.com's website, but you can find it for free probably at rootsweb if you do an archive search.)
"The Delmage (Dolmage, Dolmeitsch) were part of the Palatine immigration to Ireland from the Rhine/Palatien area of what is now Germany, the year was 1709 and the French were reacting violently to the effects of the Reformation on the German States. Queen Ann, took the opportunity to rescue these people from certain death on condition they settle in Ireland. The end result was a number of settlements one of which was at Rathkeale in Limerick, which became the principle Palatine Settlement. Rathkeale was set up by Sir Thomas Southwell on his estate Castle Matrix. This is the ?family castle? and is where a number of Delmage?s worked and lived. All Christenings, Marriages, and Burials were recorded at Rathkeale.
Ref: People Make Places Story of The Irish Palatines, by Patrick J. O?Connor, Oireacht na Mumhan Books, Coolanoran, Newcastle West, Co. Limerick.
There are references on my web site www.dubery.com/Genealogy and follow the Palatine links.
Hope I can be of service, don't hesitate to contact me with any questions.
Clifford M Dubery in Beautiful Frankston, Victoria, Australia"
Sorry I don't know anything about the Lorentz family-just starting to look myself. Feel free to email me Faith Bovenizer firstname.lastname@example.org