wow great job ... now I really wish I did not suck at math...

Thanks. It's just maths, plusesuseses and minusesusesses.

Here's the Excel function:

The Standard Deviation is in Cell A1

The two random numbers are in Cells B1 and C1
{ to get the random number put this in each --> =rand() }

The randomly selected number can be put in Cell D1 by copying the following:
=(2/PI())*A1*LN(TAN((PI()/2)*B1))+2*PI()*IF(C1>=0.5,1,-1)*SIN(4*ATAN(SINH(B1/2)))*EXP(-1*((B1^2)+(PI()^2))/PI())

The approximation works well for standard deviations greater than or equal to 1.

If you need something for standard deviations less than 1, remove the second half of the addition:

+2*PI()*IF(C1>=0.5,1,-1)*SIN(4*ATAN(SINH(B1/2)))*EXP(-1*((B1^2)+(PI()^2))/PI())

Removing the second half of the addition will also work for any range of standard deviation, zero to infinity.

note: if you remove the second half addition, you only need one random number.