I found this, seems to be a bios setup thing.
Optionally if the Latitude ST unit is shipped from the factory without a LAN driver and the driver is installed manually, you will be prompted to turn on the WLAN. The following steps need to be performed to successfully install the WLAN card.
a)Connect a USB keyboard to the computer and restart the computer.
b)Press the F2 key at the Dell logo to “Enter Setup”.
c)Select F9 to load defaults.
d)Select F10 to Save settings and Exit.
WLAN will connect automatically after windows starts up.
This resets the hidden Wireless Radio Enable setting, and removes the Hardware Disable setting.
In Pup-Sysinfo->Devices->PCI->Summary
See if it gives any info about a wlan or wifi device.
If yes.
Post what it says.
I hope someone comes along, that has used Puppy, on this type computer.
I do not have one.
They will know more than I do or maybe can suggest a better Puppy version.
Puppy Linux has a bunch of different versions, because one version does not work on all possible computers.
May help to edit the subject of this topic and add tablet to what the computer is.