The bride and groom will have their love to keep them warm when Walter Cronkite's daughter, Kathy, marries Houston lawyer Bill Ikard on cold, blustery Martha's Vineyard Valentine's Day.

Kathy, an actress who appeared in "Network" and the TV series "Hizzone," met young Ikard last summer on the Vineyard, where both families have vacation homes.

Ikard is the son of the former president of the American Petroleum Institute, Frank Ikard, and his wife, Jayne, former head of the Newsweek bureau in Boston.

They are a very "romantic, champagne-and-roses couple," says Betsy Cronkite. The mothers-in-law-to-be plan to fly in crates of Don Perignon and masses of long-stems to brighten the island, which Mrs. Cronkite describes as dreary in the winter.

Kathy is a writer as well as an actress and has a new book coming out on the children of famous persons. Titled "Are You Related To . . .?", it contains interviews with 30 celebrity off-spring, including the sons and daughters of Arlo Guthrie, Paul Newman and Gerald Ford.

In the midst of the Iranian crisis, a family name of tantalizing familiarity to some Washingtonians has come floating over the foreign airwaves.

Iranian radio reports that the Ayatollah Khomeini has put a price on the head of Akbar Goodarzi, who it calls a member of the mysterious Forqan group, which claims responsibility for several recent murders among the Ayatollah's followers, including Moslem clergymen.

Goodarzi is accused of being the head of a "hit team" connected with SAVAK, the shah's secret police, according to intelligence sources in Washington.

What Washington officials want to know is whether he is related to Alexi A. Goodarzi, the Iranian maitre d' at the Rotunda restaurant on Capitol Hill who was murdered, gangland style, in 1977.

Alexi Goodarzi, who was suspected of having SAVAK ties by local and federal investigators working on his still-unsolved murder case, was reliably reported at the time to have "either a brother or a father" who was a highly placed police official in Tehran.

The Justice Department was unable two years ago to get Interpol, the CIA or SAVAK headquarters in Iran to answer queries on Alexi Goodarzi's relative.

After the recent revelations about Eleanor Roosevelt's private life, another intimate World War II biography is in the works on the other side of the Atlantic.

A London newspaper reports that writers are rushing into print a sensationalized book on Lord Louis Mountbatten's later years that is going to outrage the British royal family and infuriate the Royal Navy.

Mountbatten, murdered at the age of 79 last summer when an explosion demolished his yacht off the cost of Ireland, was eulogized by Prime Minister Margaret Thatcher as a man whose "life ran like a golden thread of inspiration and service through the history of our country in this century."

Steve Rubell, co-owner of Studio 54, is the one who gets a cover story in Money magazine and his picture in the all the "people and personality" sections with Bianca Jagger.

Mention Ian Schrager, his partner, who pleaded guilty with him recently to income-tax-evasion charges, and people-watchers will say, "Who?"

Who Schrager is not, says his attorney, Roy Cohn, is the nephew of the financial brain of the Mafia, Meyer Lansky.

Cohn said this week, to set the record straight, that there has always been a lot of confusion on this point since the Studio 54 furor. Law enforcement officials, when talking to reporters, habitually refer to Schrager as being related to Lansky.

Actually, says Cohn, Schrager's father and Lansky were merely "close friends."

When Bloomingdale's employes slip off to the "Forty Carrots" for a health-juice break these days, they amuse each other with accounts of Ethel Kennedy's shopping problems in outfitting her younger sons in the mens wear section.

One source says that outfits purchased the day before the dedication of the JFK Library in Massachusetts in October came back the day after. It was assumed they did not fit or were not suitable.

Blue Bill Blass blazers bought for the announcement of Uncle Ted's presidential candidacy were altered, the source says, and therefore are not expected back.