Re: 1975 Grady white with a 88 evinrude. Wiring difficulties.
That indicates an intermitent voltage drop, usually caused by either loose cable connection or tight but dirty connections..... a common problem.
Remove and thoroughly clean all cables/wires that pertain to the starting system, and also clean the components that the cables/wires attach to. This includes the actual battery terminals, battery posts, starter solenoid connections, everything.... and do not forget the black battery ground cable at the powerhead.
Let us know what you find.