7 month old off and on fever

Kaitlyn

I need advice my 7 month old got a fever Friday morning and had it all day but was controlled with medicine. However 2 am Saturday morning she woke up hot and I checked it and it was 101.2 gave her Tylenol. At 7 am Saturday it was 100.1( Rectally) so I gave her Tylenol and a few hours later it went up to 101.1 I gave her a warm bath to see if that helped because this was only and hour or 2 after giving her medicine. After her bath I checked it 30 mins later it was still going up 101.5 so I took her to the ER when we was at the ER they took her temp it was at 102 something ran Flu RSV test both negative she threw up when they tried giving her Tylenol so ended up not getting that they “Checked” her temp before discharging her and it was between 98-99 which was INCORRECT!!! She was still burning up when we got home her temp was higher 102.7!!! I’m heated but I gave her ibuprofen and she slept till about 5 (we got home at 1 pm) when she woke up it was at 101.5 gave her ibuprofen and back to the er I wanted answers! Get there the said they can’t do any test because even if her White blood count was elevated they don’t know where it’s elevated at so was sent home and this morning (Sunday 7am) her temps at 103.2!! All they are saying is Viral Syndrome something just don’t seem right should I get a 2nd opinion???