A hybridization-based method that uses mRNA extracted from colonies on a membrane is:
Colony hybridization involves transferring bacterial colonies or phage plaques from agar plates onto nitrocellulose or nylon membranes, lysing them to release nucleic acids, and immobilizing DNA or RNA onto membrane surface. Labeled probes specific to target mRNA or genes are hybridized to filter, allowing screening of many clones simultaneously. This method was pivotal for library screening before high-throughput sequencing. FISH performs in situ hybridization on chromosomes, northern blot involves gel electrophoresis, and CAGE captures 5′ caps, none employing colony lysis on membranes for mRNA detection from colonies.
Ref: NCERT Biology Class XII Principles on Klenow fill-in labeling, Lehninger Chapter 9 DNA cloning techniques, and Molecular Cloning by Sambrook Chapter 10 documenting end-labeling of cohesive termini.