Yo BigD,
I assume that you have good battery voltage over 12.6 volts on red/light blue wire through NSS to the small terminal on relay (it is at top of the relay as shown in below pic) @ passenger side fender liner when turning key to start?
Relay pic in an 89 5.8
Source: by Handy_andy_cv64 (Ed B)
Inspect battery clamps, cables and wire strands for corrosion, damage or looseness. Include ground cables from battery post to engine, etc. and positive cable from battery to relay to starter.
Is relay securely mounted to a Rust/Grime Less section of fender?
Some non-Ford Motorcraft relays are being reported as Defective
, such as; "...second bad brand new AutoZone Valucraft starter solenoid (relay) by Cody8892000
This can also be due to a dead battery cell. Sometimes, a battery will have just one cell go bad or short out. When this happens, the battery will seem fully charged, but fail to start the Bronco, or it may start the Bronco right after charging, but then fail to crank. I had a dead cell that did same; no crank then after turning to start a few times, it would crank.
"...Why are the cables and battery so important? The starter circuit pulls a lot of amperage, up to 500 amps depending on the starter, the engine load, and battery condition. This kind of amperage stresses all of the components in the starter circuit, including the battery, battery terminals, the battery disconnect switch, the cables including the ground path, and any remote solenoids. Problems with these components are hard to find because they appear fine at rest or under a light load, but generate high resistance under heavy amperage draws. The result will be low voltage to the starter during cranking, resulting in heavier amperage draw and increased internal heat in the starter. Over time, this will cause starter failure. Voltage measured at the starter during cranking should always be above 9.5VDC..."
Source: by powermastermotorsports
Take it to a local parts store for a free test.
Here is your 89 start system wiring diagram
http://www.revbase.com/BBBMotor/Wd/DownloadPdf?id=21146
&
http://www.revbase.com/BBBMotor/Wd/DownloadPdf?id=21147