One could easily make a crystal locked oscillator with a divider chain to give 60Hz - but do you really need it?
Why not use your GPS as an accurate reference time clock?
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Id like to find a female clock repairer :D:D:D:D
There is a problem with your scenerio, this would not be the perfect woman as you predict.
Fine she would get on time for everything but she could also tell the difference in time with accuracy. This is advantagous if your a rodeo rider riding a wild bronco for 8 seconds, but not so, if your not in a rodeo rink at the time.
;)