Find the position...

Ok, here is a little game I devised, I have tried it out in a group forum, and it seems to work, although multiple solutions with minor differences  sometimes seem possible, but I'll accept those too.

I thought maybe it would appeal to a larger audience...

The idea is, I post the solution to a mate in x problem, and you have to reconstruct the original position, based on the information in the solution.

The 1st one is a mate in 6. In this one, be very careful that your solution does not allow a quicker mate.[edit: or multiple solutions]

Solution: 1. Qb8! waiting
 1. ... c5 2. Qb7 waiting
    2. ... c4 3. Qb6 waiting
       3. ... c3 4. bxc3 [5. Qb4#]
          4. ... Ka3 5. Qb1 waiting
             5. ... Ka4 6. Qb4#
    2. ... Ka5 3. b3 waiting
       3. ... c4 4. bxc4 [5. Qb5#]
          4. ... Ka4 5. Qb2 waiting
             5. ... Ka5 6. Qb5#
 1. ... Ka5 2. b3 waiting
    2. ... c5 3. Qb7 waiting
       3. ... c4 4. bxc4 [5. Qb5#]
          4. ... Ka4 5. Qb2 waiting
             5. ... Ka5 6. Qb5#
    2. ... Ka6 3. b4 waiting
       3. ... c5 4. bxc5 [5. Qb6#]
          4. ... Ka5 5. Qb3 waiting
             5. ... Ka6 6. Qb6#

How about this?:

Well, crazy, that solution works.

You nailed the position of the Black King, and both pawns.

Now for bonus points, can you find the start position if it is gicven that the White Queen starts on b6? (Now you have to be careful not to allow waiting moves with the King, giving multiple solutions)

 With the Queen on b6, are you allowing 1.Qb7 as an alternate solution to 1.Qb8?

No, Qb6 is the position in the original. The trick is to find a way to stop the white king from being able to move, without giving Black any defenses, or without white pieces that may make waiting moves for alternate solutions. Eg, the following position has 7 solutions, Qb8 should be the only one...

Ok, the correct position was: