Time on Frog Island

Before you can complete the Cartographer's quests, you'll need access to the Western Island and the Mountain Door on the Snowy Mountain will need to be open (you can open it before or after she requests it). You'll need to be the Cartographer in 7 different locations where she'll give you a quest each time. Her locations and quests are as follows:

Location #1: Southwestern high ground of the Main Island

• She'll ask for your help retrieving her binoculars. Wait for her to move away from the hole in the wall, then squeeze inside and grab the binoculars, then give them to her. You'll need to sleep at least once before she'll move on to the next location.
  

Location #2: Just North of the Fisherman's house:

• She'll be standing next to a dirt plot where you can grow a bounce mushroom. If you've already grown it, just talk with her. If you haven't, use a speckled mushroom to grow the bounce mushroom and then talk with her. You'll need to sleep at least once before she'll move on to the next location.
  

Location #3: Standing by the Flower Sign Leading to the Eastern Island

• When you talk with her by the sign, follow her as she makes her way to the Eastern Island and she'll stop by a batch of Flowers. You need to talk to her with both the Sunflower and Blue Droopy Flower in your hands. The Sunflowers will appear just next to her when it's sunny out and the Droopy Flowers will appear just next to her when it's raining, so this particular part might take a few days to complete. You'll need to sleep at least once before she'll move on to the next location.
  

If the Western Bridge is open, you can next find her at the Ruins on the Western Island. If the Western Bridge is closed, you can next find her by the Mountain Door near the base of the Snowy Mountain. Whichever you do first, the opposite will be the last one that gets you the trophy. You will need to sleep at least once between these two get her to move. 


Western Island Ruins

• She'll be just NE of the water inlet in the middle of the island. She needs a purple gem to "activate" the ruins. The gem can be found at the top of the Eastern Island mountain, just inside the Ancient Extractor. 
  

Mountain Door / Snowy Mountain

• She needs you to open the door for her, which requires a purple gem. The gem can be found at the top of the Eastern Island mountain, just inside the Ancient Extractor.