As Centaur has bowed out of this round (see the above two posts), I think we have to regard his two attempts at a solution as retracted. Thus, the current situation is:
20 questions (yes-no) again: What is the pair of astronomical objects (i.e, two objects closely spaced on their own length scale) I am thinking of?
# 1: No, they are not within our own galaxy
# 2: No, they are not within our Local group of galaxies.
# 3: No, none of the constituent parts is what an amateur astronomer would consider "prominent".
# 4: Yes, the two objects are galaxies.
# 5: No, the galaxies do not have an informal name which is the name of an animal.
# 6: Yes, they are in the Northern celestial hemisphere
# 7: No, 'tis not a winter constellation
# 8: No, it is not a summer constellation as per
this list.
# 9: No, to my knowledge they are not members of Arp's Atlas of Peculiar Galaxies
#10: No, they are not in a circumpolar constellation (from Aachen).
#11: Yes, they are in a constellation named after a real animal.
#12: No, it is not a four-legged animal.
#13: Yes, it is in big ol' Serpens (one of them, that is).
I also edited some spelling and deleted my comment to # 7 (formerly # 8), as it was unhelpful and misleading (see my discussion with Jeff 6 posts back)