IMO these things are quite randomly selected 'off the top of your head' type of responses: Gumtree, Harley Street.
I don't believe these were actual plans, because even a tiny bit of digging would inform you that you shouldn't even buy a dog off gumtree, never mind acquire a nanny. And that Harley street isn't an emergency healthcare option.
IMO CM is just saying stuff, possibly to obfuscate what their actual plan was.
A plan they still don't want anyone to know about.
Was there already a baby smuggler in place? But when they no longer had access to cash, and the high visibility manhunt started, the smuggler got cold feet and dropped out. IMO this might make sense of their mad dash round the country visiting ports even when they don't have passports.
Maybe she's still hoping to access that person/plan/escape route next time she has a baby, if she is acquitted.