Your watches are both products of respectable and historically interesting watch companies:
1) Mira a was founded in 1896, and was named after a star - a red giant, in fact. The firm soon became known for making quality chronometers and its Felsa bidynatorcaliber automatics from the 1940s onwards are also "mentioned in dispatches." Mira still exists, and can be looked up online. Your particular example dates from the early 1950s.
2) Relide watches were manufactured by the watch company of Walter Triebold, based at la Chaux de Fonds in Switzerland. The firm is still listed in a recent business directory online as Walter Triebold Uhrenfabrik Relide but appears to be defunct, and earlier, the use of the company designation, Relide S.A., indicates that Relide may have been the sole or main brand produced by Triebold. Your Relide watch is a shade later than the Mira, probably dating to the late 1950s.
Your two watches show well just how many interesting watches there are out there with unexplored histories. Both Mira and Relide could usefully be researched and written about.
