Peaches Geldof was planning to open a vintage clothes shop with her husband Thomas Cohen before her death.
The couple, who married in 2012, were considering starting up a business in London after their financial income allegedly began to plummet following the break-up of Thomas' band S.C.U.M in January 2013.
A source told the Daily Mail newspaper: "Thomas was really determined because he knew financially things were a bit of a struggle at home and he wanted to show Peaches he could contribute to their family budget. Peaches really encouraged him and wanted to be part of the business."
However, Thomas, 23, is determined to continue building the business following the death of Peaches last month because he needs something to take his mind off his grief.
The source explained: "Now that she's [Peaches is] gone Thomas' family and friends have been encouraging him to keep the dream alive and continue going for it.
"Thomas' older sister Holly is involved with the plans and she and Thomas are looking at opening a shop in London. They still need to find the right location for it."
As well as juggling a potential new shop, Thomas has also become the sole carer of the couple's sons Astala, two and Phaedra, one, following their mother's passing.
The former musician was left heartbroken after he discovered his wife's lifeless body "slumped" across the bed at their home in Wrotham, Kent, on April 7.
An inquest heard last week that heroin was "likely" to have played a role in the blonde beauty's death.
However, police have since released a statement insisting Thomas is not under suspicion of involvement in her death.
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