Robin, a quick run down on the basics, after annealing and shaping heat to red hot and quench in oil – now comes the tricky bit – tempering !
In the absence of a temperature controlled muffle etc you can improvise
You can "blaze off" the oil by hovering the part over and not in the flame, the oil will catch light and burn away and hopefully your spring will be tempered, this can work well for small and thin springs such as yours but experience is all !
Alternatively as Michael suggests polish the spring to bright and heat in a bead of fine degreased brass chipping's until it turns dark blue in subdued daylight.
Another method if its a thicker spring is place it in a small tin with a small quantity of oil and heat the tin until the oil catches fire then allow the oil to burn away more or less until its all gone, apply a little extra heat if the flame starts to extinguish before most of the old has burnt away – again your spring will br tempered
John.