Producers of the TV movie Poker Alice, starring Elizabeth Taylor and George Hamilton and now shooting in Arizona, were faced with a challenge: They needed a gift to present to Her Eminence on each day of the 25-day shooting schedule. Estimated budget for the baubles: $1000. "Mainly we bought earrings, cigarette lighters and bracelets," says one designated shopper. "This is an unwritten but well-known part of every movie deal that's made with Liz. It's been going on for years."

Griffin Dunne, who just finished shooting Who's That Girl with Madonna, thinks he knows why one of his co-stars was a cougar named Murray. "There's no reason for that cat being in the movie," Dunne was overheard telling friends. "Madonna ordered one up because she thought she would look good in a white dress standing next to him."

Apparently the Royal We have their marital ups and downs too. According to one London paper, Queen Elizabeth and Prince Philip had a furious row during a pheasant shoot at Sandringham. Onlookers say the Queen was most displeased with the way Prince Philip was handling the dogs and organizing the event. "She was in a foul mood," said one observer. "It was hard to hear what she was saying to him, but there was much gesticulation and finally the Queen just stalked off." It all seems so common.

Melanie Griffith can't find enough nice things to say about her romantic lead and director on an upcoming Miami Wee episode—ex-husband Don Johnson. The show, airing in March, features Griffith as a high-class madam. "He had been looking for the perfect part for me for about a year, and he called last month to say he'd found it," says Griffith. "There's a chemistry between us that's never gone away."

Moonlighting's Maddie and David face a delicate personnel problem. Ms. Dipesto (Allyce Beasley), the chirpy receptionist who answers the agency's phone in rhyme, will need some time off in September to have her first child. Maternity leave seems in order since occasions like this occur only once in a Blue Moon Detective Agency.

It may be love's illusions that Judy Collins will recall, but her autobiography, to be published by Houghton Mifflin this fall, won't have the obvious title. "No, I'm not calling it Both Sides Now," says Collins. Instead, she's leaning toward Trust Your Heart, which happens to be the title of her new album due in April.

It looks as though jazz-rocking Steely Dan is getting its act back together, though not necessarily taking it on the road. Keyboardist-vocalist Donald Fagen and guitar and bass player Walter Becker, who haven't been in touch for five years, have decided to record their first album since Gaucho. The fact that Fagen lives in New York and Becker in Hawaii hasn't been a problem; they are doing their musical communing over the phone.

Maybe it won't equal Burt Lancaster rolling in the surf with Deborah Kerr, but it is very much New Wave. As the teenage couple heads off for a lakeside tryst, the girl suddenly stops to ask her date if he's "prepared." He thinks he knows what she means, so they go to a drugstore and buy condoms. This cautionary scene will appear in John Landis' Amazon Women on the Moon, scheduled to open this spring, when the sap rises.