You're probably right - it was just a vague possibility based on a similarity of names.
As to the family bible (and other family memorabilia)- I would never believe absolutely in dates written in UNLESS the bible or document actually dates from the time in question- which many do not.Many were 'filled in' much later.
e.g. My great grand father died in 1933 and was seen by my mother who was then 11, and who is still alive and well today.According to the family tradition he was 93 when he died (born 1840)but according to the death cert he was 88 (born 1845).According to the 1901 census he was 61 (born 1841) and according to his wedding cert in 1875 he was 27 (born 1848).As you can see I don't put much faith in the accuracy of ages.
As to the spelling of names there seems to have been no standardised spelling until very late - in Ireland probably after 1880 or so and not always even then.
Over a period of about 80 years up to about 1880 my Conlon relatives were spelled Conlan/Conlon/Conlin and Connellan in various records and yet it can be proven beyond doubt that they were all the same family.
My Rourkes come out as Rourk(e)/Rork(e)/Roark(e)/Rorgue and other families had as many variant spellings.
Anyway all the best and I hope you find your family