If you want to head in a northerly direction from the Crescent Hotel, there are 2 bus stops within close proximity. Both stops are at Euston Station, with each stop offering different services for different routes. Which service you select will depend on which local attractions and London landmarks you wish to see and visit.
Bus Services From British Library (Stop C)
How To Reach British Library (Stop C) From Crescent Hotel
After exiting the Crescent Hotel, you must head north-west on Cartwright Gardens towards Burton Place and then left onto Mabledon Place. From there, turn right onto Euston Road and British Library (Stop C) will be on your left.