The last mention I'm aware of 'bows' among French infantry is a decree of January 1522 which required a levy of 24000 francs archers for campaigns in Italy, Guyenne and Picardy (the latter for a second invasion by Henry VIII) to be equipped with , doublets, feathers, leather cape, shoes, corselets, mail gorgets, arm pieces, mail skirts and helmets. 2/3 were armed with pike and the rest were halberdiers, crossbowmen and arquebusiers. All were to serve in hoquetons (sleeveless coats) in the liveries of their captains and or towns / cities. They were paid month by month and stood down at the end of a campaign.
For Marignano, the Adventuriers are mentioned as fighting valiantly and keeping up a steady rate of fire though these are crossbow armed, in fact as i type i've realised im confusing bow armed infantry with the ordonnance archers, doh ! Marignano being when their transition to lighter lance armed cavalryman was sealed / demonstrated. So there were longbows at Marignano, just not as I initially mentioned.
Just ignore me !