The Ratchet String Case - Detective Spark appears

'With all his money he could find a better place to die,' murmured Inspector Irving bending over a still figure on the floor. He cocked his head to the side trying to look into the dead man's face without touching the corpse.-Here, dead is used as an adjective to describe the state of the noun (the man) rather than in it's noun form (dead-those that have died).
'And a better time,' remarked Spark thoughtfully looking through a dusty window at the incessant rain. 'And, maybe, a better way,' he added.
Irving straightened his back and turned to Spark. 'Did you know him?'
'No,' Spark shook his head. 'Just heard of, like all of us.’
'So, who gave you the address?', Irving moved slowly across the dirty room towards Spark.
'I've got an anonymous call,' Spark answered evasively.-This happened in the past so you would use the past simple form here.
'Well, well,' Irving grinned, 'You feed your moles with fat worms and not vice versa, don't you?'
'Honestly, you, Inspector, personally do not resemble a worm,' Spark smirked, 'but some of your colleagues do.'
'Alright, let's move along, shall we?' Irving quickly switched the subject. 'So, before we call the team, how, do you think, he died?'
'She drank him to death, then strangled him,' answered Spark shortly.
'She?' Irving turned on his heels towards the corpse. 'You know, in his case, you are right. There are dozens of women in this city who’d love to do it. Bravo!' Inspector chuckled. 'Go on!'
'Strong move,' Spark nodded approvingly. 'But then, tell me, where she did it?'
'What do you mean?' Irving shrugged his shoulders. 'In this room, of course. Look at the furniture, traces on the floor, at...'
'You are wrong, Inspector,' Spark smirked again. ‘It happened on the other side of the city.'
‘Of course,' Irving smirked too. 'I had to know. Then, like a zombie, he marched all the way through the city, attracted by the heat of our brains!' Irving laughed loudly. 'But anyway,' he continued 'I don't have enough imagination like you, colleague.'-Having imagination is a state of being, rather than something that you possess from gaining it.
'No imagination at all, Inspector,' Spark smiled, 'only bare facts. Just look at that corner, and you'll agree. And, by the way, thank you for calling me "colleague."

(probably) to be continued

-Careful with your use of definite/indefinite articles.