Solution 1:

The OED has an entry for ungodlily. There are no examples more recent than 1860, but the ones provided are as follows:

583 J. Field Godly Exhortation sig. Cjv Being thus vngodlilie assembled, to so vnholy a spectacle.

1645 E. Pagitt Heresiogr. 54 Ungodlily alledging the..Scripture.

1674 Govt. Tongue 114 'Tis but an ill essay of that reverence and godly fear, to use that very gospel so irreverently and ungodlily as men now do.

1860 E. B. Pusey Minor Prophets 413 Israel..slaying ungodlily Him who was by nature His Begotten Son.