More than likely it shows note timing for another verse, where there are different words which need to be sung/played in a slightly different rhythm.There doesn't seem to be a hard and fast rule as to whether the tail on the smaller note follows the main note's tail or goes in the opposite direction, but it makes sense that the value of each note will be different - otherwise the timing for each word in each verse would be the same.
EDIT: now we can see the bar proper, it seems to me that strictly speaking, there should also be a small quaver rest,at the beginning, to signify verse two starts on the second beat (as there is already a quaver rest, not shown, at the beginning of verse one). Call me pedantic - some versions will have that.