There was an overwhelming response to my question so thanks to all who
responded.  Most people said I needed the files as mif format and could then
use the mif to shape converter in ArcView.  This is true but what I really
wanted was a way to convert tab to mif myself without the use of MapInfo.
Only a couple of people came up with the tab2tab program which I already had
but not being familiar with DOS couldn't figure out how to get it to work.
So thanks to Pieter Geert van den Beukel for his instructions.  Once I got
from tab to mif I could then easily bring the line into ArcView.

Kylie
========================
Kylie Harvey
Environmental Scientist/GIS Analyst
EcOz
GPO Box 381
Darwin NT 0801
AUSTRALIA
Ph: (08) 8981 1100
Fax: (08) 8981 1102
Visit our website: www.ecoz.com.au