Former Senator Tom Daschle did the same thing..listing his mother’s house in Aberdeen, SD as his official South Dakota residence while he actually lived just outside the beltway with his well paid lobbyist wife. He would only show up in South Dakota for an occasional photo op and when he was running for re-election.
On a British cop show on PBS, one of the main characters is a 49 year old female detective that's getting divorced.
She suggest to her mother that the mother should buy out the soon to be ex's half of the house, and move in her and the teenage kids, solving a number of problems.
The detective's partner says that now she could claim that the mother is living with her.
Next scene is the partner telling the new sergeant that the detective "lives with her mother"...
With a little bit of planning...
Reminds be of Barney Frank. He was living in Boston when the Pope told Rep. Fr. Drinan (D) (of Watergate notoriety) to get out of politics.
Frank rented an apartment in Drinan's district and successfully ran for Congress. Members of the Kennedy family do that a lot too.