While actress-model Liz Hurley was in a British hospital yesterday giving birth to a "happy and healthy" son, police were arresting a stalker outside her London home.

The scruffy-looking suspect, identified as Peter Mihalovic, was hauled off by police after he was spotted shoving gifts and letters through the Bedazzled star's front door. 

Mihalovic, who is 33 and claims he is Marilyn Monroe's son, had been showing up outside Hurley's home earlier this week, forcing her to flee. 

He's due to appear in a London court today to face a harassment charge. 

Mihalovic, believed to be a Frenchman, had been picked up outside Hurley's home in December and given a formal written warning to stay away. 

He also has been sending her letters — some of which were described as abusive by actor Hugh Grant, Hurley's ex-boyfriend. 

In one note, Mihalovic urged Hurley to "get rid" of the baby, Grant told police 

He reportedly wrote, "Don't have the baby, get rid of it. . . . I know you really love me. If you have to have the baby, you could say it's mine." 

Hurley, unaware of the drama on her doorstep yesterday, delivered her first child, Damian Charles, at 12:25 p.m. London time. 

The identity of the tot's father is yet to be determined  but Hurley, 36, is definitely not saying it's Mihalovic. 

She named multimillionaire playboy-producer Steve Bing as the dad last November when she announced she was pregnant. 

But Bing questioned the claim, contending they did not have an "exclusive relationship when she became pregnant," and noting that it was Hurley's "choice to be a single mother." 

"Indeed, if I am the father, I will be an extremely involved and responsible parent," he vowed. 

Bing, 35, reportedly wanted a DNA test to prove paternity — something that can be done now that the baby has been born. 

If Damian proves to be Bing's son, Hurley would be entitled to millions of dollars in child support. 

Hurley began dating Bing, the grandson of New York real estate magnate Leo Bing, shortly after her 13-year relationship with Grant ended in May 2000. 

When Bing distanced himself from her and her pregnancy, Hurley issued a statement saying she was "deeply distraught . . . especially as I am shortly to give birth to his child."

For more news, entertainment and sports coverage, click here for NYPost.com.