I'll take a stab (I am 98% certain that 1-41 are all correct):
#1 Huey Lewis - "Jacob's Ladder"
#11 Scritti Politti - "Perfect Way"
#21 Joe Jackson - "Is She Really Going Out With Him?"
#31 Tom Tom Club - "Genius of Love"
#41 Wang Chung - "To Live & Die In L.A."
#51 The Alarm - "Strength"
#61 The Fixx - "Red Skies"
#71 Rockpile - "Teacher, Teacher"
#81 Tim Curry - "I Do The Rock"
#91 XTC - "Making Plans For Nigel"
#101 Ultravox - "Reap The Wild Wind"
didn't chart U2 - "I Will Follow"
As to the other significance of "Jacob's Ladder": I'll take a guess that it was the 500th #1 hit of the rock era.
Mike was a little closer overall, but you also scored well
The correct order is
#1 Huey Lewis - "Jacob's Ladder"
#11 Scritti Politti - "Perfect Way"
#21 Joe Jackson - "Is She Really Going Out With Him?"
#31 Tom Tom Club - "Genius of Love"
#41 Wang Chung - "To Live & Die In L.A."
#51 Rockpile - "Teacher, Teacher"
#61 The Alarm - "Strength"
#71 Ultravox - "Reap The Wild Wind"
#81 U2 - "I Will Follow"
#91 Tim Curry - "I Do The Rock"
#101 The Fixx - "Red Skies"
didn't chart XTC - "Making Plans For Nigel"
The other significance of "Jacob's Ladder" (which is not in the Db) is that it & "The Way It Is" were consecutive #1's, and as rare as it is for an artist to have consecutive #1's as a performer, it is even rarer to have consecutive #1's when you performed one & wrote the other. I believe Prince has done this, and maybe one of the Gibbs bros. Not sure who else back in the early days, but in any case it's a damn short list &
NOT one you'd expect to find Bruce Hornsby on.