The house in which Moore wrote the poem Lalla Rookh was named for it, possibly by Moore himself. From British History Online: "Lalla Rookh {was a} two storeyed villa with wide verandah rented in 1817 by Thomas Moore ... the setting of Lalla Rookh was thought beautiful". Lalla Rookh cottage was still here in 1878 according to another page. Moore's youngest daughter, Anne Jane Barbara, died in the house.
Edith's Streets says: "... a ‘big house’ Lalla Rookh ... was occupied for six months in 1817 by the poet Thomas Moore". and that two streams met in the grounds. Muswell Hill Forebears tells us that the house "was previously (1730-1807) the abode of Abraham Newland (cashier of the Bank of England), whose signature on bank notes made his name widely known."
All this, but we cannot find a picture of the house.
See Rookfield Garden Village for how the grounds were developed.