Conjecturingly

Hercules. [Conjecturingly.] Thy father at least, if he be gone, is indeed full-of-years![…]Hercules. [Conjecturingly and with interrogation.] Has he not told me of some disaster there is?

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Then lost in anguish, as he homeward went, / O’er gate and stile conjecturingly he bent, / Making resolves, as soon as he could find / A chance renew’d, to boldly speak his mind, / Deeply repenting over what was past, / To be so foolish as let slip the last.

Source: wiktionary

And yet had they not been so much alike in one sense, Miss Talbot and Mr. Hastings might have found some room in their hearts to think pityingly, yet conjecturingly of what it was that made them each so rapt in their own thoughts.

Source: wiktionary

A thoughtful spirit drifting upon this tide in a large city like Paris cannot but often think of this, and shiver with the feeling that beneath and all around are scattered thickly, if invisibly, putrescent corpses and whitening skeletons. But sometimes strange things do come to the surface—featureless, formless, unrecognizable objects, upon which men gaze wonderingly, conjecturingly, but unknowingly; and which are in reality the disjecta membra of ghastly things over whose hideousness the unquiet billows once mercifully swept.

Source: wiktionary