Translation according to P. W. Joyce:
Ballinaleama, townland near Slyne Head in Galway. Takes its name ("the town of the leap") from the Head (for Slyne is an incorrect form of Leim, a leap). Adjoining the townland is Illauna-leama in the sea, the "island of the leap." For Slyne Head, and the corresponding name "Loop Head" (in Clare), see vol. i [reproduced below].
The legend that gave name to Loop Head in Clare is still well remembered by the people. Cuchullin [Cuhullin], the chief of the Red Branch knights of Ulster, endeavouring once to escape from a woman name Mal, by whom he was pursued, made his way southwards to the extremity of the county of Clare, where he unhappily found himself in a cul-de-sac, with the furious termagant just behind him. There is a little rock called Bullán-na-léime (leap rock), rising over the waves, about twenty-five feet beyond the cape, on which the chief alighted with a great bound from the mainland; and the woman, nothing daunted by the raging chasm, sprang after him; when, exerting all his strength, he leaped back again to the mainland - a much more difficult feat than the first - and his pursuer, attempting to follow him, fell short into the boiling sea. Hence the cape was called Léim-Chonchuillinn, Cuchullin's Leap, which is the name always used by ancient Irish writers, as for instance by the Four Masters; afterwards it was more commonly called, as it is at the present day in Irish, Ceann-Léime [Canleama], the head of the leap, or Leap Head, which seems to have been modified into the present name Loop Head by the Danes of the lower Shannon: Danish hlaup, a leap. The woman's body was swept northwards by the tide, and was found at the southern point of the cliffs of Moher, which was therefore called Ceann caillighe [Canacallee] or Hag's Head: morevoer the sea all along was dyed with her blood, and it was called Tonn Mal or Mal's Wave, but it is now known by the name of Mal Bay. Ceann-Léime is also the Irish name of Slyne Head in Galway; but I do not know the legend, if there be one (see page 82, supra). There are several places whose names contain this word léim in such a way as to render it probable that they are connected with legends. Such for example is Leamirlea in the parish of Kilmalkedar, Kerry, Leim-fhir-leith, the leap of the grey man; Leamydoody and Leamyglissan in Kerry and Lemybrien in Waterford; which mean respectively, O'Dowd's, O'Gleeson's and O'Brien's leap; Carrigleamleary near Mallow which is called in the Book of Lismore, Carraig-leme-Laeguire, the rock of Laeghaire's or Leary's leap. Leap Castle in King's County, near Roscrea, the ruins of which are still to be seen, is called by the Four Masters Leim-ui-Bhanain [Leamyvannan], O'Banan's leap.