On a mere suspicion.

to doubt, to suspect, to mistrust

to be suspicious (of), be mistrustful (of), to be disaffected

vainly hopeful, presumptuous

to come into one's mind

thought, idea, imagine, hypothetical, fictitious

doubtful, immersed in conjectures and delusions

idea, thought, conjecture, surmise, presumption, fancy

show pride or conceit, be arrogant

doubt, suspicion, distrust

think, presume, have suspicion (against)

the supposition, it is supposed, it is expected, it is probable or likely

full of conceit, puffed-up, proud

well-wishing, thinking good

arrogance, pride, haughtiness, dignity, honour

sign, trace, hint, notion

see no signs of, have no premonition

the only child is a greater headache than no child