Frodo and Bilbo in the Hall of Fire (FR 2.i.230-33, 236-38) -- A Managed Meeting?

It is easily forgotten that Sam must have witnessed the moment when Frodo wished to strike Bilbo for reaching for the Ring. He arrived just after Elrond left the two of them alone. Whether Sam had any part in the conversation before Bilbo asked about the Ring is unclear,* but as soon as Frodo's reaction prompts Bilbo to change the subject to news of the Shire Sam chimes in. This continues until Strider arrives and takes Bilbo away to confer on poetry. 

If we look back at this sequence from the perspective of Sam’s arrival later that evening to prompt Frodo to go to bed, we may reasonably wonder if Frodo and Bilbo are here being ‘managed’ by Gandalf and Elrond. In this Bilbo may be complicit to some degree, and Sam of course has played the spy more than once already. It is also true that Gandalf and Elrond had already 'managed' Bilbo's volunteering to go back and collect the Ring. 

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*Consider the following sentences, in which 'they' at the beginning of the second sentence might include Sam, or exclude him as 'them' at the end of the first does:

'In the meanwhile Frodo and Bilbo sat side by side, and Sam came quickly and placed himself near them. They talked together in soft voices, oblivious of the mirth and music in the hall about them.'

        FR 2.i.231

I think that on balance 'they' does not include Sam, directly following 'them' as it does, but that might not be correct.