Yes, they are transferware and not hand painted, to tell the difference look real close, with a loupe if you have one, and you will see that it is made of lots of tiny dots. As for the set the bowl, would be considered a waste bowl, which come in a tea set to put spoons and waste in. The larger plate would be considered a bread plate. As far as tea cup collectors, the most popular are the Extra Fancy ones for overall looks, then you have Fancy and plain. This one would be considered as plain, not that it makes the tea cup not cute, just a overall appearance issue. Then of course, name, and cir. is considered in the value along with rarity, condition and etc. A good basic value for most tea cups hovers around $20.00. In your case here this tea cup would not necessary be a highly sought after one, unless they are needed to complete a set.