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I think it is 32 bit yes but I got the model wrong. Its the satellite-p200-1ee and has RAM of 4096MB rather than 2048MB but I'll add Mint MATE to list to try as well.
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fwiw mine is 64 bit.
I found this quite a useful summary of the various distros:
https://www.lifewire.com/choose-best-linux-distro-for-needs-2201172
Just tried a live version of Ubuntu (albeit still with my HHD and 2GB RAM)... definitely was not happy. Although it did look nicer, it did remind me how shit a slow laptop is, and why I was happy to live with a slightly dated / quaint interface.
Going to put MATE on a USB and give that a go.
The processor on your Toshiba looks like it is a 32 bit version and your memory is limited to 2GB, that will limit performance. I run the 32bit version of Linux Mint MATE on machines with a bit more memory and that is fine. It is the easiest install to get a good looking interface and their help forum is user friendly. If that fails then go for Lubuntu and play around with the desktop layout until you are happy with it.
32 bit processors are beginning to struggle with some software and are not supported at all by others like Chrome, Skype and maybe more in the near future. I think MS Office on Wine would really struggle, just learn to love Libre Office instead.