You inspired me to look up the word - inspire in an on-line etymological dictionary:
inspire (v.)
mid-14c., enspiren, "to fill (the mind, heart, etc., with grace, etc.);" also "to prompt or induce (someone to do something)," from Old French enspirer (13c.), from Latin inspirare "blow into, breathe upon," figuratively "inspire, excite, inflame," from in- "in" (from PIE root *en "in") + spirare "to breathe" (see spirit (n.)).
It seems that while inspirations feels so... good... and that feel good feeling needs time to incubate in the womb of stillness and darkness for a new birth (as in autumn and winter preparing for spring).