The baptism that you quote gives the following information
St Andrew Holborn - 23rd February 1783
George son of George and Betty Taylor Peters Street
Added - There is an earlier christening at St Andrew
2nd January 1780
Mary Middleton dtr of George and Betty Middleton Taylor Peters Street 
Rosie
Rosie.. Is there a marriage date for this Betty Middleton and George Taylor or death record? I'm trying to think of anything that may have his profession OR something that shows them living in Hackney in later years? Thanks
Pallot's Baptism Index for England: 1780 - 1837
Birth, Baptism & Christening
.
NAME:
Mary Middleton Taylor
MOTHER:
Betty Middleton Taylor
FATHER:
Geo Taylor
BAPTISM:
1780 - London
Pallot's Baptism Index for England: 1780 - 1837
Birth, Baptism & Christening
.
NAME:
Geo Taylor
MOTHER:
Betty Taylor
FATHER:
Geo Taylor
BAPTISM:
1783 - London
London, England, Baptisms, Marriages and Burials, 1538-1812
Birth, Baptism & Christening
.
NAME:
Mary Middleton Taylor
PARENTS:
George Taylor
Betty Middleton Taylor
BAPTISM:
2 Jan 1780 - St Andrew, Holborn, London, England
London, England, Baptisms, Marriages and Burials, 1538-1812
Birth, Baptism & Christening
.
NAME:
Elizabeth Maynard Taylor
PARENTS:
George Taylor
Betty Middleton Taylor
BAPTISM:
16 Jul 1781 - St James, Clerkenwell, Middlesex, England
London, England, Baptisms, Marriages and Burials, 1538-1812
Birth, Baptism & Christening
.
NAME:
George Taylor
PARENTS:
George Taylor
Betty Taylor
BAPTISM:
23 Feb 1783 - St Andrew, Holborn, London, England