Hi
Throughout London's history the city has needed the daily arrival of new blood into the capital for it to continue to thrive and grow. London offered great opportunities but the price could be high as mortality rates in the city were also high. In consequence most peoples' family's history will not trace back as many generations in London as they might expect. Once an ancestor does not live until a census with a given a birthplace and does not have a particularly unusual surname it can be difficult to prove their origins - in London or elsewhere.
Perrin is a more unusual surname but not a rare one.
'In the Middle Ages Westminster was separated from London by fields. A road ran along the shore or strand of the Thames. The road name 'The Strand' still survives although the road has been moved inland. However in the late 16th century rich men began to build houses along the Strand and by 1600 London was linked to Westminster by a strip of houses.
In the early 17th century rich men continued to build houses west of the city. The Earl of Bedford built houses at Covent Garden, on the Strand and at Long Acre. He also obtained permission to hold a fruit and vegetable market at Covent Garden.'
The IGI is an imperfect index and does not have comprehensive coverage of Westminster parishes. However at this time - up to the date you give, the early C18th it is the best freely available index there is.
A list of Perrins marriages in the Westminster area taken from the extracted records on the IGI (which is missing major parishes like St George Hanover Square) up to 1720.
You would expect most activity to be in the square mile of the City of London (which it overwhelmingly is with many many more marriages)
JACOB. PERYN: 25 AUG 1561 Saint Martin In The Fields, Westminster
MARGARET PERYN: 05 MAY 1572 Saint Margaret, Westminster
ALLIZAIN PERINE: 24 MAY 1580 Saint Margaret, Westminster
THOMAS PERYN: 17 JAN 1585 Saint Martin In The Fields, Westminster
CECILIA PERRYN: 02 AUG 1596 Saint Martin In The Fields, Westminster
SUZANNA PERRIN: 17 AUG 1630 Saint Martin In The Fields, Westminster
RICHARD PERRYN: 13 JAN 1634 Saint Margaret, Westminster
WM. PERRIN: 17 AUG 1641 Saint Martin In The Fields, Westminster
HENRY PERIN: 05 NOV 1655 Saint Clement Danes, Westminster
NICHO. PERRING: 28 MAY 1668 Saint Mary-St Marylebone Road, Saint Marylebone
FRANS. PARHAN: 11 FEB 1688 Saint Mary-St Marylebone Road, Saint Marylebone
JOANNES PERYN: 20 MAY 1669 Saint Martin In The Fields, Westminster
ANN PARON: 05 MAR 1681 Saint Mary-St Marylebone Road, Saint Marylebone
JANE PERIN: 17 APR 1688 Saint Mary-St Marylebone Road, Saint Marylebone
BENJA. PARRAN: 20 JUL 1690 Saint Mary-St Marylebone Road, Saint Marylebone
MARY PERREN: 28 APR 1699 Saint Martin In The Fields, Westminster
John Parran: 10 JUN 1704 St James', Westminster
JANE PERRING: 18 AUG 1705 Saint Martin In The Fields, Westminster
HENRIETTA MARIA PERING: 07 MAY 1706 Saint James, Paddington
ELIZABETH PARRON: 26 OCT 1707 Saint Martin In The Fields, Westminster
JOHN PERRING: 25 APR 1715 Saint Anne Soho, Westminster
WALTER PERREN: 24 SEP 1717 Saint Martin In The Fields, Westminster
MARTHA PERRYN: 26 JAN 1719 Saint Martin In The Fields, Westminster
So there doesn't seem any particular period when the surname Perrin arrived in the Westminster area. Westminster Perrins could just as easily go to the City to get married as marry in the Westminster area with one or other of the spouses living there or in the surrounding areas (tradtionally marriages took place in the woman's parish). There is no reason to suspect all these 'Westminster' Perrins were related.
There is a Frances Perrin on the 1841 census
HO107 690/12 folio 21
Queen Street Kensington
Frances Perrin 55 Boarding Housekeeper not born in the county
adult ages, those over 15, are usually rounded down to the nearest 5 on the 1841 census.
What information do you have on Thomas and Frances?
Regards
Valda