The first one is an E minor version of a tune Paddy Carty played in D minor. The second one might be called by the name I've given it. On the other hand ...
Hi Michael, I’ve just been alerted to your lovely and seemingly labour-intensive website by Bernie Stocks. Fair play to you! I believe the second tune is Far Away from Home, which Chief O’Neill says he learned from the whistling of a sheepherder (or shepherd) in Nevada, I think.
Does the first tune bear any relation to the tune known as Molly Bawn?
all the best