Never having seen silver steel in flat sections (as suggested by Ronan), and no idea of how the spring is situated/fixed, I question if round wire could be used instead, i.e. piano wire available through model shops.
For the cross section which Leszek nominated, assuming the spring thickness is 0.044" and 0.094" is the width, my equivalent (moment of inertia) calculations suggest that a wire diameter of 0.061" is about right.
This was my 'change-of-direction' when I chose (calculated) 0.008" diameter guitar wire for the balance wheel spring of my clock, instead of the nominated flat wire 0.020" x 0.005".
Other than annealing for sharp bends, heat treat may be unnecessary.
Sam