Lisa Marie Presley and fourth husband and music producer Michael Lockwood aren’t saying much about their newborn twin daughters — Elvis’ third and fourth grandchildren. But this is what we know so far:

*A source close to Angelina Jolie told me Sunday, the actress — who gave birth to twins herself July 12 — has called Presley to congratulate her.

*No names have been released for the new babies, but various rumors claim the girls will be named Gladys Love (after Elvis’ mother) and Jessie, a female version of Jesse, Elvis’ identical twin who was stillborn.

*Officially, Cindy Guagenti, Presley’s publicist would only confirm the children were born in an unnamed West Coast hospital by Caesarian section on Tuesday and that the 40-year-old mother and daughters are doing well. One child weighed 5-pounds, 15-ounces, the second baby was 5-pounds, 2-ounces.

*According to sources, the twins were born at Los Robles Hospital & Medical Center in Thousand Oaks, Calif. Lockwood was present for the birth and Lisa Marie’s teenage children, Riley and Ben Keough, were also at the hospital.

HANGING WITH LILO: During Lindsay Lohan’s Friday visit to Chicago (joining girlfriend Samantha Ronson for her monthly DJ-ing gig at Hotel Sax’s Crimson Lounge), the actress again was overheard saying she and Ronson could easily live in Chicago. ‘‘It’s such a great city and pretty much paparazzi-free!’’ At the club, Lohan invited soldiers from Fort McCoy (just from Iraq) into the DJ booth and happily posed for photos.

ROLLING WITH RIVERS: Before Joan Rivers keynoted the annual Lynn Sage Cancer Research Foundation luncheon at the Ritz Carlton Friday, the comedian told me she’s made a TV pilot for Mark Burnett (‘‘Survivor,’’ ‘‘The Amazing

Race’’) called ‘‘How Did You Get So F-ing Rich?’’ It’s an updated version of ‘‘Lifestyles of the Rich & Famous,’’ but ‘‘focusing on unknown rich people.’’ A Rivers favorite in the pilot is a ‘‘Wharton [Business School] grad who horrified his mother when she learned he started a sex toys business. But now that he’s made millions, she’s now out there, handing out ticklers!’’

*At the luncheon, Rivers alternated between racy jokes and truly inspirational chat about ‘‘survival’’ — sharing her own tough life experiences, including her husband’s suicide and various career lowpoints.

But it was Rivers’ humor that dominated. As for Angelina Jolie, Rivers quoted the actress as saying she’d feel she was a success if her work with the United Nations ‘‘only made  one person happy.’’ Zinged Rivers, ‘‘Then, how about giving back Jennifer Aniston’s husband?’’

The inability to find Osama bin Laden bugs Rivers. ‘‘He’s on a kidney dialysis machine — in Afghanistan — where they only have one electrical outlet in the whole country. We just have to find that plug — and follow the cord!’’

*Also Rivers snared some gasps from the mostly-female audience when she dissed the late Princess Diana. (You have to remember the Joan is close pals with Prince Charles...) At any rate, Joan said she never understood why Diana was so unhappy. "After all, she looked fabulous, was tall, thin and blonde....She had more money than you can imagine. She even had a crown! Plus she had two normal children and....a husband who didn't want to sleep with her -- how perfect was that!"

(Now THAT is another example of typical Joan Rivers humor!!!)