What are the origins of gully and googly in cricket?

Picking up Jimmy's reference to Googly as Australian slang, there are a couple of possibilities. Firstly to establish the early Australian usage: 1904 P.F.Warner How We recovered Ashes 106 Bosanquet.. can bowl as badly as anyone in the world,but, when gets a length, those slow 'googlies', as the Australian papers call them, are apt to paralyse the greatest players.

Sidney J. Baker's 'The Australian Language' notes the usage of 'googly' but doesn't speculate on its origins. Baker does note the use of the word 'goog' for egg (still widely used in Australia) and speculates that this might be derived from the common root of 'gog' as in goosgog (a gooseberry). Baker appears to be referencing the shape of the berry (ovate) and the egg, but I haven't been able to trace the source of the word 'gog', except to note this reference from the OED: Goggle - to sway or roll about; move loosely and unsteadily, and associated quotes from c.1200, but more clearly from 1519: 'Maydens that cary geere vpon theyr heed putte a wrethe of haye betwene the vessell annd theyr heed to stay it from goglynge. Whether the old usage of goglynge is derived from an observation of the tendency for an ovate shaped object (possibly called a 'gog') to wobble, or whether ovate shaped objects got the name 'gog' from their tendenty to wobble in the sense of goglynge is a matter for someone with deeper resources (in Welsh I suspect) than I.

But whether 'googly' got it's name from the tendency of the ball to bounce as if it was mis-shaped like an egg (hence goog-ly), or directly from 'goggle' which (according to the OED) is related to the Welsh 'gogi' meaning to shake, or Gaelic 'gog' meaning a nodding or tossing of the head, it doesn't really matter - it seems that there's a strong link back through goggle to gogi or gog in Welsh/Gaelic. As for how the Welsh/Gaelic usage came to be common in Australia, it's interesting to note that Sidney Baker records 'goog' (an egg) as a expression used by prospectors and miners, and to note that there was a very strong presence of ex-Cornish tin miners, particularly in South Australia from the 1840's onwards.

It is also worth noting that the modern sense of 'goggle', that is for the eyes to 'bulge' or stare in amazement was not the original usage, according to the OED. Again the OED on 'goggle' - to turn the eyes to one side or other. The modern usage of goggle (and Google!) has, I think, in this case obscured the arguably strong link between googlie and goggle.

Gully derives from gullet, which (like gorge) is ultimately derived from the PIE root *gwere (= √2. गॄ) meaning to swallow (Monier Monier-Williams). This is where the sense of narrowness derives from. Thus the Indian word (in its various modifications, meaning throat (गला) narrow street (गली) and drip (गल्)) is very much cognate with the English one - and all these derivatives ultimately have a common source meaning 'to swallow'). In the context of cricket, the gully position is designed to field deeper-hit shots from the batsman.

As for googly I have seen no evidence of an Indian origin. Since it is a deceptive trick in cricket there is merit in the suggestion that it derives from googly-eyed.

As far as "Gully cricket" is concerned, In India cricket is most famous game. India is still a developing country. Children out there doesn't get much space or large playground to play cricket.

But they try to manage to play cricket in streets and lanes nearby their house.

In Hindi which is native language of India, Hindi meaning of Street/lane is "Gully".

From here the origin of gully is occurred , which is now widely used for smaller format of cricket or T20 or Twenty-Twenty cricket.