Last May, as a battle was heating up between Internet companies and Hollywood over how to stop online piracy, a top entertainment industry lobbyist landed a meeting at the White House with one of President Obama’s technology advisers.

The lobbyist did not get there by himself.

He was accompanied by Antoinette C. Bush, a well-connected Washington lawyer who has represented companies like Viacom, Sony and News Corporation for 30 years. A friend of the president and a cousin of his close aide Valerie B. Jarrett, Ms. Bush has been to the White House at least nine times during his term, taking lobbyists along on a few occasions, joining an invitation-only forum about intellectual property, and making social visits with influential friends.

At the same time, she and her husband, Dwight, have donated heavily to the president’s re-election effort: Mr. Bush gave $35,800 on the day of his wife’s White House meeting last year, and Ms. Bush contributed the same amount a month later. In November, they hosted a $17,900-a-plate fund-raiser at their home, where Mr. Obama complained that the nation’s capital should be more “responsive to the needs of people, not the needs of special interests.”

“That is probably the biggest piece of business that remains unfinished,” the president said, as about 45 guests dined under a backyard tent.