She had made up her mind that she was in love with Felix Carbury, and she had resolved on constancy.

But she had begun to tremble, fearing his faithlessness.
'We had heard,' said Georgiana, 'that he was a particular friend of yours.' And she laughed aloud, with a vulgarity which Madame Melmotte certainly could not have surpassed.
Sir Felix, on the Sunday afternoon, found all the ladies out on the lawn, and he also found Mr Melmotte there.

At the last moment Lord Alfred Grendall had been asked,--not because he was at all in favour with any of the Longestaffes, but in order that he might be useful in disposing of the great Director.

Lord Alfred was used to him and could talk to him, and might probably know what he liked to eat and drink.
Therefore Lord Alfred had been asked to Caversham, and Lord Alfred had come, having all his expenses paid by the great Director.

When Sir Felix arrived, Lord Alfred was earning his entertainment by talking to Mr Melmotte in a summerhouse.