There is a 'Glossary' page on The Cheshire Parish Register Project site, which gives a list of abbreviations for the parishes.
eg "ALDA : Alderley BTs
ALDL : Alderley
AUDL : Audlem
BACA : Backford BTs
BACK : Backford
BEBI : Bebington
BIDA : Bidston BTs
BIDS : Bidston
BROA : Bromborough BTs
BROB : Bromborough
BUNB : Bunbury
BURT : Burton
CEJB : Chester, St John
CEMA : Chester, St Mary BTs
CEMY : Chester, St Mary
CHDL : Cheadle
CHDX : Cheadle BTs
DAVA : Davenham BTs
However, if you scroll further down the Glossary to 'residence', you'll find a long list of them.
The baptism of Peter, father John, in 1669 says residence as "SINK".
SHYG : Shady Grove.
SIBB : Sibbersfield.
SIDD : Siddington.
SIDE : Sidebottom Fold.
SIDH : Siddalls Hill.
SIMG : Simms Green.
SIMH : Simmonds Hill.
SIMM : Simmonds Green.
SIND : Sinderland.
SING : Sinderland Green.
SINK : Sinck Moss.
SKEL : Skellorn Green.
SLAC : Slack, The.
SLAH : Slaughter H
There is no residence transcribed for the baptism of 'Alis" in 1680.
Next to the baptism of Jane in 1677 is 'LEHH".
LEFT : Leftwich.
LEGH : Legh.
LEHH : High Legh.
LEHH : Legh, High.
LEHP : Ley Hey Park.
LEIG : Leighton.
LEIH : Leigh.
LEIL : Leigh, Little.
LEIL : Little Leigh.
LEIN : Leighton in Nantwich.
LEIS : Leighton in Neston.
LEYL : Leylands.
I see there is also a John Leigh baptised April 11 1667, father John of "SINK".
Also a Josiah Leigh baptised Dec 5 1686, father John of 'LEHH"
There are many, many baptisms where there is no place of residence given.
You can click on each entry in the CPRP to find the other information given in the entries in the registers - at this point in time it looks usually just the father's name.