Its publications are well covered online. Since 1969 its name changed to Bayard Presse and then to just Bayard.
The first example card is from the series "ceux de l'arrière" (there were at least four series) issued during WW1. Cards were issued uncoloured, some like the example were coloured by the buyer.
The next examples are earlier, No 429 was posted in 1903. Le Noel was a magazine for children and teens, produced by Le Maison de la bonne Presse. The magazines contained entertaining and improving material - text, pictures and music. The cards were a supplement to the magazine.