"Mr Williams was murdered on October 21 after going to Russell's flat, where they were 'probably taking drugs together', said the Crown's QC.
Russell afterwards 'confessed' to various people he had killed a man in the days following, alleging it was because he had believed the victim 'had sex with his girlfriend'.
Julie Williams was murdered in her flat on the night of October 24 going into October 25.
Jurors were told it is likely Russell 'duped' his way into her home, by claiming to know something about the then disappearance of her son.
In between the killings, he robbed Mr Warr of £30.
Fleeing Coventry, Russell then robbed 71-year-old Ms Crisp of £200 in nearby Kenilworth, Warwickshire, before arriving in Leamington Spa on October 26.
In the river-side town, Russell approached a couple; Christopher White and Nicole McGregor, who begged in Leamington.
The three made an agreement to buy drugs, later smoking them together.
Ms Johnson said: 'Nicole told the defendant she and Christopher were expecting a baby.
'She proudly showed the defendant a pregnancy scan that she had on her telephone.
'The defendant congratulated them both.'
Having left Mr White to go to their usual begging spots, CCTV later showed Russell 'walking alongside' Ms McGregor.
Russell is said to have 'lured' Ms McGregor to nearly Newbold Comyn park 'not for sex, but more likely for drugs' before allegedly raping and then killing her.
Russell, having killed Ms McGregor, slept rough that night but then went and found Mr White the next morning and told him a series of 'elaborate' lies about the woman's whereabouts.
It was on October 28, when a friend showed Mr White an image of a man wanted for the Williams killings in Coventry, he recognised it as Russell and 'in shock' went to the police.
A search team later found her body down a steep path, covered in scratches, 'in dense underground', likely after being dragged there in a bid to conceal the crime."
Anthony Russell pleads guilty to five-day murder spree but denies raping victim | Daily Mail Online