I've got tonnes of information on this (mainly between 91-97) but as I've right now I'm taking a break from researching it. I'll happily clarify any individual songs for you if you want?

For example from the songs you've selected these are the correct dates (I haven't narrowed them down too much because I'm trying not to base anything off speculation but actual information):

Whatever (Late 1992-Early 1993. I'm more inclined to say the latter)
(It's Good) To Be Free (Early to mid 1993)
Hello (Mid to late 1993)
She's Electric (Mid to late 1993)
All Around The World (Mid to late 1993)
Supersonic (19 Dec 1993)
Some Might Say (Early-Mid 1994)
Talk Tonight (Sep/Oct 1994)
Acquiesce (Mar 1995 (Based off an earlier song from 1993 called 'Being a Blue'))
Don't Look Back In Anger (Apr 1994)
Cast No Shadow (May/Jun 1994)
The Masterplan (Aug 1995)
Underneath The Sky (Oct 1995)

It seems Noel didn't really come into his own as a songwriter til late 1992. A lot of material discussed as being from 1992 actually comes from 1993. For example that video of the band at the boardwalk playing 'AATW' is from 1993 not 1992.

No worries pal. Those 3 songs were definitely all written in mid-late 93 with nothing I can really think of to seperate them. 

In terms of what was the oldest written song to feature on an Oasis release I'd say:
- In terms of music it's 'Columbia'. It was first performed as an instrumental in Jan 1992 and then lyrics were added by Chris Griffiths (of The Real People), Liam and possibly Noel in Spring 1993.
- In terms of a complete song it was probably either 'Cloudburst' or 'Alive' which likely date from 1992 though the evidence is scarce. There are other songs in contention but I'd put my money on these two being the oldest.
- If you mean in terms of being released on an LP I'd say probably 'Rock N' Roll Star' or 'Bring It On Down' which were likely written in late 1992 (5 Jan 93 being the latest possible date), though 'Up In The Sky', (maybe) 'Digsy's Dinner' and (to a lesser extent) 'Married With Children' are in contention.

Here's a simplified timeline of when the Definitely Maybe/WTSMG?/Be Here Now album tracks were written:
1) Columbia [Instrumental] [Late 91/Early 92]
2) Rock N' Roll Star/Bring It On Down/Digsy's Dinner [?]/Up In The Sky/Married With Children [Late 92/Early 93]
3) Columbia [Spring 93]
4) Live Forever [Mid 93]
5) Cigarettes & Alcohol [Mid 93]
6) Shakermaker/Hello/She's Electric/All Around The World/Don't Go Away [?] [Mid/Late 93]
7) Supersonic [Late 93]
8) Slide Away [Late 93/Early 94]
9) Roll With It/Hey Now!/Some Might Say/Stand By Me [Early/Mid 94]
10) Champagne Supernova [Late 94]
11) Morning Glory/The Girl In The Dirty Shirt [?] [Late 94/Early 95]
12) Don't Look Back In Anger [Early 95]
13) Wonderwall/Cast No Shadow [Early/Mid 95]
14) My Big Mouth [Late 95/Early 96]
15) I Hope, I Think, I Know [Early 96]
16) It's Getting Better (Man!!)/D'You Know What I Mean?/Fade In-Out [Early 96]
17) Be Here Now [Mid/Late 96]
18) Magic Pie [Late 96]

One more to add: Hey Now originated out of a jam played during the fan club portion of the concert at the Borderline Club in August 1994 after filming for the C&A music video. My guess is the actual song was written later that year/early 1995

It supposedly has bits of it. The best I can tell it is similar to the chorus, but it also sounds a bit like the live versions of Rocking Chair at parts. The bootleg is pretty widely available on the internet and I would be interested in hearing others' opinions as well. Its possible that this is just another example of Noel merging two songs.

Great list! Always interesting to read these kind of things.
Do you know when Going Nowhere or Whatever were written?

(1) Noel wrote 'Colour My Life' and 'See The Sun' in 1991 or earlier. 'Arkayla' (AKA... 'R K La'/'I Will Show You'), 'Must Be The Music' and 'Columbia' [Instrumental] were played live by the band on 14 Jan 1992 so were written prior to this date. Likewise 'Snakebite' were written in 1992 or earlier. He also wrote some dance tunes with Mark Coyle at some point somewhere between 1989 and 1992. No doubt he wrote more material than this but we can't say for certain what.

(2) Laying the songs out like this you can kind of see how his style has changed over time. 93 was his big year though. I think when momentum started building for the band he took the whole songwriting thing very seriously in a way he never did again. 

(3) Here's when the songs on The Masterplan were written (some are a little hard to determine):

1) Fade Away [Early 93 or Earlier]
2) (It's Good) To Be Free [Mid 93 or Earlier]
3) Going Nowhere [Mid 93]
4) Half the World Away/Rockin' Chair/Headshrinker [Mid/Late 93]
5) Listen Up [?] [Early 94 or Earlier]
6) Talk Tonight [Sep/Oct 94]
7) Acquiesce [Mar 95] [Based on an older song 'Being A Blue' [Mid/Late 93]]
8) The Swamp Song [?] [Jun 95 or Earlier]
9) The Masterplan [Aug 95]
10) Underneath The Sky [Oct 95]
11) Stay Young [?] [Jun 96 or Earlier]

'Going Nowhere' was written in Mid 93.

According to Tony McCarroll Noel wrote 'Whatever' around a catchy keyboard "ditty" that Tony Griffiths (of The Real People) wrote. Tony Griffiths in an interview appears to confirm this saying they (he and his brother) helped with the string arrangement on the track. This keyboard/synth is likely what you're hearing in the demo. The band met The Real People in late 92 and met up with them a number of times between then and Spring 93. This means it could have been written any time between those dates though I'm inclined to believe it was written later than earlier.

The chorus was written by spring 93 but could have been written earlier.

According to Paul Gallagher or Paulo Hewitt (I forget which) 'Being a Blue' was reportedly written about being a Manchester City fan and apparently plans were drawn up for Man City to actually use the song but the idea never came to fruition. In my opinion some of the lyrics hint this indeed could've been the case, most notably "Because we need each other, we believe in one another...".

In regards to that story (which Noel has told multiple times) and to tie things up as nicely as possible I'd suggest Noel did some additional writing to the song in the Severn Tunnel which brought the song back into contention for the band.

Do you have a link to any notebook photos or was it just mentioned in some music magazine/interview/etc?

In this instance Suitcase Song is almost certainly Song In a Suitcase for which we have a set of handwritten lyrics for. A quick read of lyrics shows there is no obvious resemblance between the song and Underneath the Sky. It was a good thought however and one I briefly explored myself.

damnit, these lyrics are cringy as fuck.

That's a good question and I would like to know too.

Agreed.