How to find hardware/chipset name using terminal in Linux

How can I reliably determine the chipset of a machine?  I tried to use the lspci, hwinfo, lshw and dmidecode commands on my old Asus K50IJ with Linux Mint, but the output does not provide precise enough information about the northbridge.  I found out that its chipset is Intel® Mobile GL40 Express +ICH9M on Asus's website, but I would like to be able to find that using only the terminal, if that's possible.  The above commands return a lot of information, but not what I'm looking for.  For instance, one line of output from lspci is: Host bridge: Intel corporation Mobile 4 Series Chipset Memory Controller Hub (rev09) but my output expectation would be: Intel® Mobile GL40 Express Chipset +ICH9M The output of lspci narrows down chipsets to this list, but that's still a lot to pick from: https://ark.intel.com/content/www/us/en/ark/products/series/34468/intel-4-series-chipsets.html Because of output about SATA controller, I could identify the southbridge:

PCI 1f.2: 0106 SATA controller (AHCI 1.0)
  [Created at pci.378]
  Unique ID: w7Y8.1UWGXuPHmx0
  SysFS ID: /devices/pci0000:00/0000:00:1f.2
  SysFS BusID: 0000:00:1f.2
  Hardware Class: storage
  Model: "Intel 82801IBM/IEM (ICH9M/ICH9M-E) 4 port SATA Controller [AHCI mode]
  Vendor: pci 0x8086 "Intel Corporation"

and with that, I could check on the Intel chipset list that it pairs with the GL40 northbridge.  But it feels like a lot of work for a simple piece of information, especially since, on my other machines, lspci outputs the precise chipset model name. (response to a comment) the full output of lspci -nn -d 8086:

00:00.0 Host bridge : Intel Corporation Mobile 4 Series Chipset Memory Controller Hub [8086:2a40] (rev 09)
00:02.0 VGA compatible controller : Intel Corporation Mobile 4 Series Chipset Integrated Graphics Controller [8086:2a42] (rev 09)
00:02.1 Display controller : Intel Corporation Mobile 4 Series Chipset Integrated Graphics Controller [8086:2a43] (rev 09)
00:1a.0 USB controller [0c03]: Intel Corporation 82801I (ICH9 Family) USB UHCI Controller #4 [8086:2937] (rev 03)
00:1a.1 USB controller [0c03]: Intel Corporation 82801I (ICH9 Family) USB UHCI Controller #5 [8086:2938] (rev 03)
00:1a.2 USB controller [0c03]: Intel Corporation 82801I (ICH9 Family) USB UHCI Controller #6 [8086:2939] (rev 03)
00:1a.7 USB controller [0c03]: Intel Corporation 82801I (ICH9 Family) USB2 EHCI Controller #2 [8086:293c] (rev 03)
00:1b.0 Audio device : Intel Corporation 82801I (ICH9 Family) HD Audio Controller [8086:293e] (rev 03)
00:1c.0 PCI bridge : Intel Corporation 82801I (ICH9 Family) PCI Express Port 1 [8086:2940] (rev 03)
00:1c.1 PCI bridge : Intel Corporation 82801I (ICH9 Family) PCI Express Port 2 [8086:2942] (rev 03)
00:1c.5 PCI bridge : Intel Corporation 82801I (ICH9 Family) PCI Express Port 6 [8086:294a] (rev 03)
00:1d.0 USB controller [0c03]: Intel Corporation 82801I (ICH9 Family) USB UHCI Controller #1 [8086:2934] (rev 03)
00:1d.1 USB controller [0c03]: Intel Corporation 82801I (ICH9 Family) USB UHCI Controller #2 [8086:2935] (rev 03)
00:1d.2 USB controller [0c03]: Intel Corporation 82801I (ICH9 Family) USB UHCI Controller #3 [8086:2936] (rev 03)
00:1d.7 USB controller [0c03]: Intel Corporation 82801I (ICH9 Family) USB2 EHCI Controller #1 [8086:293a] (rev 03)
00:1e.0 PCI bridge : Intel Corporation 82801 Mobile PCI Bridge [8086:2448] (rev 93)
00:1f.0 ISA bridge : Intel Corporation ICH9M LPC Interface Controller [8086:2919] (rev 03)
00:1f.2 SATA controller : Intel Corporation 82801IBM/IEM (ICH9M/ICH9M-E) 4 port SATA Controller [AHCI mode] [8086:2929] (rev 03)

Output of cat /proc/cpuinfo:

processor       : 0
vendor_id       : GenuineIntel
cpu family      : 6
model           : 23
model name      : Pentium(R) Dual-Core CPU       T4300  @ 2.10GHz
stepping        : 10
microcode       : 0xa0b
cpu MHz         : 1196.901
cache size      : 1024 KB
physical id     : 0
siblings        : 2
core id         : 0
cpu cores       : 2
apicid          : 0
initial apicid  : 0
fpu             : yes
fpu_exception   : yes
cpuid level     : 13
wp              : yes
flags           : fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflush dts acpi mmx fxsr sse sse2 ss ht tm pbe syscall nx lm constant_tsc arch_perfmon pebs bts rep_good nopl cpuid aperfmperf pni dtes64 monitor ds_cpl est tm2 ssse3 cx16 xtpr pdcm xsave lahf_lm pti dtherm
bugs            : cpu_meltdown spectre_v1 spectre_v2 spec_store_bypass l1tf mds swapgs itlb_multihit
bogomips        : 4189.09
clflush size    : 64
cache_alignment : 64
address sizes   : 36 bits physical, 48 bits virtual
power management:

processor       : 1
vendor_id       : GenuineIntel
cpu family      : 6
model           : 23
model name      : Pentium(R) Dual-Core CPU       T4300  @ 2.10GHz
stepping        : 10
microcode       : 0xa0b
cpu MHz         : 1196.897
cache size      : 1024 KB
physical id     : 0
siblings        : 2
core id         : 1
cpu cores       : 2
apicid          : 1
initial apicid  : 1
fpu             : yes
fpu_exception   : yes
cpuid level     : 13
wp              : yes
flags           : fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflush dts acpi mmx fxsr sse sse2 ss ht tm pbe syscall nx lm constant_tsc arch_perfmon pebs bts rep_good nopl cpuid aperfmperf pni dtes64 monitor ds_cpl est tm2 ssse3 cx16 xtpr pdcm xsave lahf_lm pti dtherm
bugs            : cpu_meltdown spectre_v1 spectre_v2 spec_store_bypass l1tf mds swapgs itlb_multihit
bogomips        : 4189.09
clflush size    : 64
cache_alignment : 64
address sizes   : 36 bits physical, 48 bits virtual
power management:

Edit, output of sudo lspci -vv -d 8086:2a40:

00:00.0 Host bridge: Intel Corporation Mobile 4 Series Chipset Memory Controller Hub (rev 09)
        Subsystem: ASUSTeK Computer Inc. Mobile 4 Series Chipset Memory Controller Hub
        Control: I/O- Mem+ BusMaster+ SpecCycle- MemWINV- VGASnoop- ParErr- Stepping- SERR- FastB2B- DisINTx-
        Status: Cap+ 66MHz- UDF- FastB2B+ ParErr- DEVSEL=fast >TAbort- SERR-

I don't know where to look in the output of lspci -xxx -d 8086:2a40:

00:00.0 Host bridge: Intel Corporation Mobile 4 Series Chipset Memory Controller Hub (rev 09)
00: 86 80 40 2a 06 00 90 20 09 00 00 06 00 00 00 00
10: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00
20: 00 00 00 00 00 00 00 00 00 00 00 00 43 10 67 18
30: 00 00 00 00 e0 00 00 00 00 00 00 00 00 00 00 00
40: 01 90 d1 fe 00 00 00 00 01 00 d1 fe 00 00 00 00
50: 00 00 50 03 19 00 00 00 00 00 00 00 00 00 00 00
60: 01 00 00 e0 00 00 00 00 01 80 d1 fe 00 00 00 00
70: 00 00 00 00 00 00 00 00 01 08 00 00 00 00 00 00
80: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00
90: 10 11 11 00 00 33 33 00 40 00 4f 00 00 1a 38 00
a0: 20 00 00 14 00 00 00 00 00 00 00 00 00 00 00 00
b0: 00 c0 00 00 00 00 00 00 00 00 00 00 00 00 00 00
c0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00
d0: 00 00 00 00 00 00 00 00 00 00 00 00 70 02 00 00
e0: 09 00 0a 61 b1 6d 51 1f b9 e1 00 00 00 00 00 00
f0: 00 00 00 00 00 00 00 00 a0 0f 09 00 00 00 00 00