@Sandy Roe
// These 'eukaryotes', might they be described as a Divine Spark? //
Nope. They are cells containing organelles and are basically a design improvement over bacteria and archaea, where enzymes slosh around in solution, waiting for substrate molecules to bump into them, by chance. With organelles, the folds and structure act to produce a localised increase in concentration.
By analogy, a hospital brings bulk quantities of patients into close proximity with doctors, who can process them, serially, without having to move far, rather than wandering the streets, waiting for sickly folk to meet them, by chance. Improved reaction rate efficiency, is what organelles are all about.
Also bacteria etc have to passively wait for nutrients to reach their outer membrane and either diffuse in or be fetched inside by "active transport". Eukaryotes can move to reach a nutrient source and then do phagocytosis and digestion of particles way too big to pass through cell membranes.
Rather than identify my own take on "divine spark", the most I could do is think of where I would draw the line between inorganic chemical processes and something more ordered and capable of self-replication. However, I feel it is far more of a smudge than a line. Prion proteins self-replicate but I would hesitate to call them 'alive'. Viruses can be crystallised and aren't able to replicate independently of other life, so fail part of the definition yet they are complex enough to exploit DNA, in all its sophistication. Simultanously primitive and advanced and pushing the expression "life form" to its limits.