Display content of first cell that has any value

I have a employee table that shows employee name and last login to the system. Employee can login through computer 1 thru 5. So the data looks like this

NAME	COMPUTER1	COMPUTER2	COMPUTER3	COMPUTER4	FIRST LOGIN
JOHN	Tue Mar 25 08:45:13 PDT 2014	Tue Mar 25 08:45:13 PDT 2014	Tue Mar 25 08:45:13 PDT 2014	Tue Mar 25 08:45:13 PDT 2014	Should show value from cell B2
MARY		Tue Mar 25 08:45:13 PDT 2014			Should show value from cell C3
KEVIN				Tue Mar 25 08:45:13 PDT 2014	Should show value from cell E4
HANLEY		Tue Mar 25 08:45:13 PDT 2014	Tue Mar 25 08:45:13 PDT 2014		Should show value from cell C5
ERIC	Tue Mar 25 08:45:13 PDT 2014				Should show value from cell B6

So from the above excel, I want to just pick the first login irrespective of which system. User can login from two systems at a same time, so just like above same timestamp could end up across two different cells.

I am currently using below formula, but its not working when the first timestamp is in column 3, 4 or 5. It's only working when value is in column 1.
=INDEX(B2:E2,MATCH("*",B2:E2,0))

Please help.

Thanks for checking Olly.

My formula was not working because I had these timestamps pull via VLOOKUP and then using IFERROR I was marking all errors as blank "".

After removing the IFERROR, my formula worked.

Thanks
Moiz