"residing there" is a correct and usable phrase in written English.
It is usually used to refer to someone living in a particular place or living in a particular place for a certain amount of time. For example, "The family has been residing there for the past five years."
He took up temporary residence at Louisville's Galt House hotel and was still residing there when Union General William "Bull" Nelson was killed by a fellow soldier there in 1862.
Pomus was residing there and holding court nightly in the lobby.
One directory lists her as residing there, but that is probably an error.
Ms. Ferreyr eventually moved into the building, into a friend's apartment, and is currently residing there.
Mrs. Berkheimer was a devotee of Nantucket, residing there in the summers for over 60 years, and contributing to numerous Nantucket causes.
"When I'm working in my current kitchen it feels as if all the kitchens from my past are residing there, too," he said.
He had gone somewhere else — just the other side of the thin veil, residing there with my brother Steve and all the saints".
He was forced to flee to Norway in 1938, and he reached the United States in 1939, residing there until his death.
Like many former manufacturing buildings, it lacked a certificate of occupancy for residential use, but a number of people were residing there illegally.
They consider that problematic because Pakistan, which has an increasingly tense relationship with Washington, has tolerated the Taliban leadership's residing there and coordinating attacks into Afghanistan from Pakistan.
Large numbers of Asian immigrant families, of course, began residing there in the 1960s, when exclusionary immigration quotas were loosened in the United States.
