Big noter

I was recently considering someone close to me who is known frequently to 'big note' herself about many things that as far as I'm aware she hasn't even done. I know that to 'big note' is to brag or even mislead someone into thinking you're more special than you might really be in a given situation, but what is the origin of the term?

Is the 'note' here from some gambling background, inferring you're offering bigger notes (dollars) than you've really got, or is it something to do with voice, eg. singing, words, etc.?

Any help here greatly appreciated.

I've never heard that expression. Maybe it comes from "tooting (blowing) your own horn." In southern West Virginia, we called someone like that a "blow George."

Here's what is printed in the Oxford English Dictionary under "noter"

1. A writer or recorder of musical notation. Cf. NOTE v.2 1. Obs. rare1.
1491 in L. T. Smith York Plays p. xix, Tixt-wryters, luminers, noters, turners, and florisschers.

2. A person who takes or writes notes; a recorder; an observer.
1589 J. RIDER Bibliotheca Scholastica, A breefe noter of the contentes of bookes, eclogarius. 1611 R. COTGRAVE Dict. French & Eng. Tongues, Remarquer, a marker, or noter of things. 1638 T. NABBES Covent Garden IV. ii. 46 Prethee be carefull, hee's a Cynick noter Of men and of their manners. 1755 JOHNSON Dict. Eng. Lang., Noter, he who takes notice. 1849 N. & Q. 3 Nov. 13/1 John Aubrey, the most noted Querist, if not the queerest Noter, of all English antiquaries. 1868 H. ALFORD Epimenides in Poet. Wks. (ed. 5) 194 Many a year His lids were closed: youth left him and he woke A careful noter of men's ways. 1890 J. R. LOWELL Poems III in Writings 66 One would think, though, a sharp-sighted noter she'd be Of all that's worth mentioning over the sea. 1963 Times 4 Feb. 3/1 A diligent noter stated that there were 55 line-outs in one half and 56 in the other, which was indicative enough. 2001 N.Y. Times (Nexis) 3 Apr. 3/6 We see firm denial of voyaging capability. Thor Heyderdahl [sic] was an early noter of this.

3. An annotator, a commentator. Cf. NOTIST n. Obs. rare.
1644 W. LAUD Wks. IV. 334 The beast is primarily the Roman empire, in the judgment of the Geneva noters. 1655 T. FULLER Church-hist. Brit. VII. 397 His Notes as the Noter, got perfection with His age.

4. Law. A person who formally witnesses or notes a protested bill. Cf. NOTE v.2 4b. Obs. rare1.
1849 T. DE QUINCEY in Blackwood's Mag. Oct. 488/2 You are made unhappy if noters and protesters are the sort of wretches whose..shadows darken the house of life.

bank or promissory notes are usually just called 'notes' - when people are out socially, sometimes people will ostentaciously flash their notes around and it was a common inducement to get served in a bar. some people would attract the attention of bar staff by waving notes much bigger than their order justified. to say "I don't have anything smaller" implies that one is cash-rich.
I would think a 'big noter' is somebody who flashes the cash.