I have this old netbook, see... I really can't tell you which size atom is in it, but it is an Asus eeePC that originally came with xp32 home. It was originally my PIM back in the day, and I am a sucker for a clam-shell and a real keyboard. So I have been beating this poor dead horse down the road for nearly a decade...
Anyway, in the last upgrade, it got 2 WHOLE GIGS of RAM, and an old 130g hdd I had laying around... But I ditched XP finally, it being so old that I was having problems just getting a modern enough browser to capably surf the net. So after asking a bunch of folks what to put on it, the consensus was Mint XFCE, which did indeed install perfectly, but O.M.G... S.L.O.W
So I put up with it for about a year... and it does function reliably, but it really isn't useful anymore. my tablet is several generations newer. But like I said, I dang near love that ol netbook... and prefer the clamshell. It's been with me a long, long time.
Anyway, it's up against the wall now. I am ready, finally to pitch it... But I will give it ONE MORE CHANCE, dang it. All it needs to do is run Firefox and Thunderbird well, and I set that as my goal. with that alone, it becomes a serviceable PIM again, and anything more is bonus.
Damn Small Linux - DSL made it scream, and I may just go back to it and hack the drivers in... but that's what I would have to do. No sound, no LAN, no WLAN.

Tried DSL-N next, A DSL fork, by DSL, which is fatter and a wee bit more compatible, but not with this.
Tried Mint Mate - A waste of time... Maybe even a bit fatter than the Mint XFCE I started with.
Then I ran into Lubuntu... Definitely faster than the native Mint, and that running from a liveCD.
Install was flawless and easy.
It isn't a speed demon, now, but it runs FF and TB with a little lag at startup, but once running, it is quite responsive... FAR more so compared to Mint.
AND it ain't bad in Libre Office.
AND... wait for it... SAMBA!!! Yes, fans, I can get to my windows shares.
It has Aptget and updates just fine, and has all the normal access to software...
It is reasonably quick internally, and is responsive on the LAN, surfing normally, with just a touch of slow... WLAN is a different story, so I will tear it down and try for an 'n' WLAN, and I think the old girl is serviceable for another few years.
Two days in: This was a good test, as it is about as slow a machine as anyone might have...
And I will recommend Lubuntu pretty highly.