If I were to go catching pokemon here on Rose Hill I would find...
Raccoons--Zigzagoon, Sentret
Possums--Patrat/Watchog
Hawks--Rufflet, Braviary
Crows--Murkrow, Honchkrow
Rats--Rattata, Raticate
Blue-Jays--Staravia, Staraptor?
Woodpeckers--???
Hummingbirds--???
Bees--Beedrill, Combee, Vespiquen
Dragonflies--Yanma, Yanmaga
Butterflies--Butterfree, Beautifly
Moths--Mothim, Venomoth, Dustox
Slugs--Gulpin, Swalot, Slugma
Spiders--Spinarak, Ariados, Joltik, Galvantula
Squirrels--Pachirisu, Emolga
Rabbits--Buneary, Lopunny
Snakes--Ekans, Arbok, Seviper, Serperior
Tadpoles & Frogs--Poliwag, Poliwhirl, Poliwrath, Politoed, Tympole, Palpitoad, Seismitoad, Croagunk, Toxicroak
Centipedes--Venipede, Whirlipede, Scolipede
Dogs (Not wild, but sometimes they get loose and roam the neigborhood)--Growlithe, Arcanine, Houndour, Houndoom, Poochyena, Mightyena
Cats (strays)--Meowth, Persian, Purrloin, Liepard, Skitty, Delcatty, Glameow, Purugly
And of course, lots of plant pokemon since I live in the Wetlands. Also, add in some garbage pokemon from the nearby polluted Seattle, some random sea life from the Puget Sound and some ghosts and there you go. Those would be the pokemon I'd catch around here.