From Bulbapedia, the community-driven Pokémon encyclopedia.

A Parasol Lady (Japanese: パラソルおねえさん Parasol Lady) is a type of Pokémon trainer that first debuted in the Generation III games. They are generally depicted as women in short rain coats carrying umbrellas.

They use various Pokémon, but frequently employ moves with weather-altering effects such as Sunny Day.

Appearance

Parasol Lady

Image from Pokémon Ruby and Sapphire

Image from Pokémon Diamond and Pearl

Generation III-introduced trainer classes
Ruby, Sapphire and Emerald
Aqua Admin | Aqua Leader | Arena Tycoon | Aroma Lady | Battle Girl | Bug Maniac | Collector | Dome Ace | Dragon Tamer Expert | Factory Head | Hex Maniac | Interviewer | Kindler | Lady | Magma Admin | Magma Leader | Ninja Boy | Old Couple | Palace Maven | Parasol Lady | Pike Queen | Pokémon Ranger | Pokémon Breeder Female Psychic | Pyramid King | Rich Boy | Ruin Maniac | Salon Maiden | Female School Kid | Sis and Bro | Team Aqua Grunt | Team Magma Grunt | Triathlete | Tuber | Winstrate | Young Couple
FireRed and LeafGreen
Cool Couple | Crush Girl | Crush Kin | Painter | Team Rocket Grunt
Colosseum and XD
Area Leader | Athlete | Bandana Guy | Bodybuilder | Casual Dude | Casual Guy | Chaser | Cipher | Cipher Admin | Cipher Cmdr Cipher Head | Cipher Peon | Cipher R&D | Curmudgeon | Deep King | Fun Old Lady | Fun Old Man | Glasses Man | Grand Master | Guy Hunter | Kaminko Aide | Lady in Suit | Matron | Miror B.Peon | Mt.BtlMaster | Myth Trainer | Navigator | Newscaster | Pregymleader Rider | Robo Groudon | Rogue | Roller Boy | Shady Guy | Sim Trainer | Spy | St.Performer | Supertrainer | Team Snagem Snagem Head | Thug | VR Trainer | Wanderer | Worker