Hi Emily,
By "negative transcripts", do you meant the transcripts on (-) DNA strand?
Do you define insert size =Read2_end - Read1_start?
If so, and for Illumina dUTP protocol, this is correct:
You should not see any reads 99/147 with positive insert and 83/163 with negative insert, as these combinations are not "properly paired".
You may see some reads mapping to the opposite strand of the annotated transcript, since dUTP protocol have a strand-error rate of ~1%.
In principle, there could be some biologically real "anstisense" transcription.
Since most of your reads are 83/163, it means the original RNAs were mostly from the +strand. Are the transcripts annotated on the +strand?
Cheers
Alex