The Spanish getting into brown sauce in a serious way (7)

I believe the answer is:

gravely

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'in a serious way' is the definition.
(I know this)

'the spanish getting into brown sauce' is the wordplay.
'the spanish' becomes 'el' ('the' in Spanish).
'getting into' is an insertion indicator.
'brown sauce' becomes 'gravy' (gravy is a kind of sauce. I am not sure about the 'brown' bit.).
'el' going into 'gravy' is 'GRAVELY'.

Can you help me to learn more?

(Another definition for gravely that I've seen is " seriously?".)

I've seen this clue in The Independent.

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