Hi spursfan. I think the way question 1 is worded, it originally looked like "Young Women in Lamplight" was the title of the painting, which it isn't. Rather, it means he used to paint women, and they were usually portrayed in lamplight. When I got the Google search box, this is what I typed in: artist, famous for painting women+lamplight. Try it, don't forget to check the date you were given (1900) to check you have the correct answer.
Then try googling: Artist+"phases of the moon"+1931
then try the next one,
Austrian/British Artist+the dreaming boys+1908
Type them exactly as I have listed them above, and see what you get.