OK, so we are all familiar with the Grafton County Sheriff Logs. James Renner has done a good thing by making them available to the public here, in two parts:

1. https://drive.google.com/file/d/0B7_atAFvowRhSXdPM1JPNDNGSTg/view

2. https://drive.google.com/file/d/0B7_atAFvowRhYzlmMm9OaEZwX28/view

Are there other log files that would provide more information related to the case? I'm going to say the answer is probably yes, explained below.

If I am correct, why aren't these other documents in circulation amongst researchers? The answer to the question could be that: We just haven't asked for them yet. is that the New Hampshire authorities have denied requests for their disclosure.

So, in this post: https://www.reddit.com/r/MauraMurrayEvidence/comments/4xrt2s/completeness_of_grafton_county_log_nature_of/
...we can determine that the Grafton County Sheriff Log Files (linked to above) are substantially complete, after inquiries by KF. She explained her inquiries here: https://www.youtube.com/watch?v=LhmxKu5K9ZA&feature=youtu.be&t=46m20s.

So, on the Haverhill log page we can see the following caption: "HANOVER DISP CALLED..." Clearly, Hanover Dispatch has some kind of call log system and their own dispatchers. Hanover's dispatch logs can be found as a PDF file linked to this page: http://www.hanovernh.org/pages/HanoverNH_PoliceLogs/ It is clear that they only keep the most current set up at their site, as links to older copies are broken as of the date of this writing 8/15/2016.

We can see that there are no missing calls from the Grafton County Sheriff Department's log by looking at the records sequentially. They are in time and log number order.

So, the logical question to ask is: What happened to Hanover's dispatch logs?

Furthermore, we know the approximate time the Atwood Family called Hanover's dispatch center, as the call ended at 19:43. But the Grafton County Sheriff Log isn't missing a call from about 19:30 - to 19:45.
So we can only conclude that Hanover had its own dispatchers, dispatch logs and computer system.

Put another way: We know that the system assigns call numbers sequentially. All calls are logged by the dispatchers and given a call number. If the call were merged, its existence would be evidenced by an unexplained call number. Since there are no unexplained call numbers from 19:30 - 19:45, we can only conclude that Hanover's call records are not captured by the Grafton County Sheriff Department's dispatch system.

I don't think Hanover was asked to provide their call logs
A letter dated November 4, 2004, from the Grafton County Sheriff's department and addressed to Fred Murray (housed here, page 1: https://drive.google.com/file/d/0B7_atAFvowRhSXdPM1JPNDNGSTg/view) states that they have enclosed "the records you requested--specifically, our entire Dispatch Center log for a 24 hour period beginning February 9, 2004 at 18:00 hours."

The evidence tends to show that Hanover had its own system, and therefore the records could not be provided by the Grafton County Sheriff's department.

Other conclusions:

1. The Grafton County Dispatch Center handled calls from numerous jurisdictions, including some fire districts in Vermont, but not for all jurisdictions in the county, and certainly not for the New Hampshire State Police.

2. (added 3-7-2018) Hanover handles a number of jurisdictions as well, per their website: https://www.hanovernh.org/communications-division/pages/towns-and-agencies-we-serve

We do have a response from the following jurisdictions saying they would or would not provide the records.

So, we have good evidence to believe that the following two jurisdictions have log systems, that, as far as we know, have not been released under FOIA:
I. Hanover at its jurisdictions, listed below
II. The New Hampshire State Police

However, any other jurisdiction on the list below (that is not included in the Grafton County Sheriff Log) might actually have log files.
I have highlighted those jurisdictions in the list below, which is derived from the list of jurisdictions shown in the below link:
http://www.co.grafton.nh.us/all-departments/attorneys-office/police-departments/
I copied the list below and made a note if the jurisdiction appears in the Grafton County Sheriff Log or not. I also made note if the linked page states that the NHSP handles the jurisdiction's police work, and therefore, activity from it would be in the NHSP logs:

1. Alexandria (In Log)
2. Ashland (Not In Log)
3. Bath (In Log)
4. Benton (Not in Log) (Handled by State Police, per link above)
5. Bethlehem (In Log)
6. Bridgewater (In Log)
7. Bristol (Not in Log)
8. Campton (Not in Log)
9. *Canaan (Not in Log) (Handled by Hanover Dispatch, per the link above) *
10. Dorchester (Not in Log) (Fire EMS are Handled by Hanover Dispatch, per the link above)
11. Easton (Not in Log)
12. Ellsworth (Not in Log) (Handled by State Police, per link above)
13. Enfield (Not in Log) (Handled by Hanover Dispatch, per the link above)
14. Franconia (In Log)
15. Grafton (In Log) (Fire EMS/Grafton Ambulance are Handled by Hanover Dispatch, per the link above)
16. Groton (In Log)
17. Grafton County Sheriff General (In Log)
18. Hanover (Not in Log)
19. Haverhill (In Log)
20. Hebron (In Log)
21. Holderness (Not in Log)
22. Landaff (Not in Log) (Handled by State Police, per link above)
23. Lebanon (Not in Log)
24. Lincoln (Not in Log)
25. Lisbon (In Log)
26. Littleton (In Log)
27. Livermore (Not in Log)
28. Lyman (Not in Log)
29. Lyme (Not in Log) (Handled by Hanover Dispatch, per the link above)
30. Monroe (Not in Log) (Handled by State Police, per link above)
31. Orange (Not in Log) (Handled by State Police, per link above) (Fire EMS are Handled by Hanover Dispatch, per the link above)
32. Orford (Not in Log) (Handled by Hanover Dispatch, per the link above)
33. Piermont (Not in Log)
34. Plymouth (Not in Log)
35. Rumney (In Log)
36. Sugar Hill (In Log)
37. Thornton (In Log)
38. Warren (Not in Log)
39. Waterville Valley (In Log)
40. Wentworth (Not in Log)
41. Woodstock (In Log)