If somebody says: We were writing songs as a four-piece.....

Does "writing" mean composing music or writing lyrics, or both? If writing means both composing music and writing lyrics how to differentiate what soemone is trying to say when he/she says: We were writing songs????

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Yes, "writing" can be used for both.

For just music, you can use "scoring" or "writing a score".
Students: Are you brave enough to let our tutors analyse your pronunciation?
Thank you for your explanations!
I'd disagree slightly, insofar that writing and composing are directly interchangable when referring to music or poetry, however I would read scoring more as a synonym of orchestration when applied to composition.