Well, I didn't know this. I don't even understand this. Do you? I incidentally found this wisdom on the Internet. It's amazing what you can find on the internet. Almost anything.
Well, finding pictures of ships that brought the Icelandic emigrants either half way or all the way to North America is not as easy as one can imagine. Not even on the Internet. When I say half the way, I mean that some ships ran only between Iceland and Scotland or England while others took their passenger all the way to North America, usually to Quebec or New York.
Just recently I came across a postcard depicting Ss Vesta in Seyðisfjörður harbour. It doesn't look big and I'm sure the accomondation onboard didn't earn any compliment. Anyway, this was probably the best you could get at that time for those who didn't have much money.

According to Vesturfaraskrá (Records of emigration), Ss Vesta sailed only in the years 1904 and 1905, i.e. almost in the end of the real emigration period.
Those years a great majority of the emigrants came from the East of Iceland, as indeed was the fact throughout the whole registered emigration period 1870 to 1914. In the year 1904 more than 300 people emigrated from Iceland, thereof 141 from the Múlasýslur counties and 1905 282 were registered as emigrants thereof 104 from the East of Iceland. Yes, the Múlasýslur counties (North- and South) are actually the eastern part of Iceland. And Seyðisfjörður was the biggest town in that part of the country.
From the many families who emigrated in those years I mention only one. In 1904 Jónas Stephensen (1849-1929) emigrated from Seyðisfjörður with his wife Margrét and their three children, Anna, Stefán and Sigurður. They settled in Winnipeg. I may have mentioned this family sometime in the past, but do it again since Jónas was my great grandmother's brother. I find it rather strange that in all the years I have been doing "Emigration genealogy" (since 1995), I have never got any contact with descendants of the family and in fact, that goes also for the family of Þorvaldur (Thorvald) Stephensen, brother to Jónas and my great grandmother Sigríður. He emigrated already in 1872 with family to Chicago. Well, I can surely live with that, but it would indeed be fun to have a small chat with some of the only "close" relatives I have in North America.
By the way. Did your Icelandic ancestors emigrate in the years 1904 or 1905? If so, this not so good picture of Ss Vesta could be an interesting addition in the family album.