Can only give you my info on the Hallissie way of spelling.
I would say the spelling of that name if they came from
Hallissey, which is mainly seen in the Kenmare area, and
parts of south Kerry, Killarney area.
you are lucky *smile*
Hallissey is not a common name in Kerry, neither is Lane.
Some Irish surnames, seem to belong to one county more so
than another, and Lane seems to be more a Limerick name,
but don't let that lead you astray, *smile*
just thought I would point that out to you.
There are some Lane names too in Kerry.