Upgrade from High Sierra to Mojave corrupted my partition table, unusable MBP.

It's a long post, but I am listing everything I have done so far.

I performed an upgrade to Mojave (day one release from App store), the app installed and I ran through the setup steps, I left it running unattended as it was ‘52 minutes remaining’ I came back to a ‘Disk management error’ (I did not catch the error number at the time), I restarted the machine, and since that point it boots to the Apple logo and the progress bar reaches about ~75% complete before turning into the prohibited symbol.

I have scoured the Apple Support forums and seen some really helpful suggestions from the community, which have led me to the point I am at now, and I’m hoping someone with some greater experience can help, calling out community member LonerT as some posts he has helped others with seem to be part of my issue.

Stupid mistake on my part is not having any backup whatsoever, and the HDD contains family images which is why I’m reluctant to give up and reformat the drive.

I am not too bothered about recovering the whole drive, a satisfactory outcome for me would be the drive is mountable and I can extract the data I want, and from there I don't mind a fresh install.

So here is where I am at, and what I have done:

• I can load into recovery mode (cmd + r).
• In disk utility I am only able to see the hardware name of my internal drive (APPLE HDD HT…), in the view menu I ensured ‘Show all devices’ is enabled, still no volume name for which I would expect to see ‘Macintosh HD’.
• I can see the OS X Base system.
• At this point I contacted official Apple support (online), once I explained I could see no drive names listed under my internal HDD, they stopped helping and said I would need to reinstall the OS.
• Tried Target disk mode on another Mac with OSX High Sierra, it could only see the hardware name of my internal drive (APPLE HDD HT…), no volumes.
• Tried Internet recovery mode, the globe 'spins' then the machine reboots back to into the prohibited symbol.

Output from Recovery mode Disk Utility on the Internal HDD

First Aid found corruption that needs to be repaired.

Checking Core Storage Physical Volume partitions

Problems were found with the partition map, which might prevent booting.

Output from diskutil list

/dev/disk0 (internal, physical):

#:
TYPE NAME

SIZE

IDENTIFIER

0:
GUID_partition_scheme
*500.1 GB
disk0

1:
EFI EFI


209.7 MB
disk0s1

2:
Apple_CoreStorage
499.2 GB

disk0s2

3:
Apple_Boot Recovery HD
650.0 MB disk0s3

/dev/disk1 (disk image):

#:
TYPE NAME

SIZE

IDENTIFIER

0:
GUID_partition_scheme
+2.1 GB

disk1

1:
Apple_HFS OS X Base System 2.0 GB

disk1s1

/dev/disk2 (disk image):

#:
TYPE NAME

SIZE

IDENTIFIER

0:
untitled


+5.2 MB
disk2

/dev/disk3 (disk image):

#:
TYPE NAME

SIZE

IDENTIFIER

0:
untitled


+524.3 KB
disk3

/dev/disk4 (disk image):

#:
TYPE NAME

SIZE

IDENTIFIER

0:
untitled


+524.3 KB disk4

/dev/disk5 (disk image):

#:
TYPE NAME

SIZE

IDENTIFIER

0:
untitled +524.3 KB
disk5

/dev/disk6 (disk image):

#:
TYPE NAME

SIZE

IDENTIFIER

0:
untitled


+2.1 MB

disk6

/dev/disk7 (disk image):

#:
TYPE NAME

SIZE

IDENTIFIER

0:
untitled


+524.3 KB
disk7

/dev/disk8 (disk image):

#:
TYPE NAME

SIZE

IDENTIFIER

0:
untitled


+524.3 KB
disk8

/dev/disk9 (disk image):

#:
TYPE NAME

SIZE

IDENTIFIER

0:
untitled


+12.6 MB disk9

/dev/disk10 (disk image):

#:
TYPE NAME

SIZE

IDENTIFIER

0:
untitled


+4.2 MB disk10

/dev/disk11 (disk image):

#:
TYPE NAME

SIZE

IDENTIFIER

0:
untitled


+1.0 MB disk11

/dev/disk12 (disk image):

#:
TYPE NAME

SIZE

IDENTIFIER

0:
untitled


+2.1 MB

disk12

/dev/disk13 (disk image):

#:
TYPE NAME

SIZE

IDENTIFIER

0:
untitled


+524.3 KB disk13

/dev/disk14 (disk image):

#:
TYPE NAME

SIZE

IDENTIFIER

0:
untitled


+524.3 KB
disk14

/dev/disk15 (disk image):

#:
TYPE NAME

SIZE

IDENTIFIER

0:
untitled


+1.0 MB

disk15

/dev/disk16 (disk image):

#:
TYPE NAME

SIZE

IDENTIFIER

0:
untitled


+6.3 MB

disk16

/dev/disk17 (disk image):

#:
TYPE NAME

SIZE

IDENTIFIER

0:
untitled


+6.3 MB disk17

/dev/disk18 (disk image):

#:
TYPE NAME

SIZE

IDENTIFIER

0:
untitled


+524.3 KB disk18

/dev/disk19 (disk image):

#:
TYPE NAME

SIZE

IDENTIFIER

0:
untitled +2.1 MB disk19

Output from diskutil cs list

No CoreStorage logical volume groups found

Output from gpt show disk0

-bash-3.2# gpt show disk0

start size index contents

0 1 PMBR

1 1 Pri GPT header

2 32 Pri GPT table

34 6

40 409600 1 GPT part - C12A7328-F81F-11D2-BA4B-00A0C93EC93B

409640 975093952 2 GPT part - 53746F72-6167-11AA-AA11-00306543ECAC

975503592 1269536 3 GPT part - 426F6F74-0000-11AA-AA11-00306543ECAC

976773128 7

976773135 32 Sec GPT table

976773167 1 Sec GPT header

I booted into Gparted, and what I'm hoping is a positive sign is it can see 'Macintosh HD', but on the flip side a file system of 'unknown' does not fill me with hope. This is where I stopped and thought it's best for someone with better experience to help guide me through any potential data recovery.

Thank you in advance.

Tools at my disposal:

• A secondary MBP (same-ish year)
• Firewire 800 cable
• External USB with GParted ready to boot
• External USB blank 150gb HDD