I serched web site include Flamsteed Catalog.
I found these pages.

Flamsteed Collection page:
http://www.dibonsmith.com/book.htm
Announcement of book with sample page.
This book include Flamsteed catalogue number,
if the star is initially designated with another name (e.g, a And).

Astronomical Catalog on ADC
http://adc.gsfc.nasa.gov/adc-cgi/cat.pl?/catalogs/4/4916/
IV/916
Gen Cat Var Stars 2: Table 4 Flamsteed Correspondences (Nagy unpub)
This file includes Flamsteed number of Variable Stars (GCVS) ....

Is there Flamsteed Catalog on web site ?

Masaki Kouda