If you can write the notes you have, you can likely find the song here..
http://www.leeds.ac.uk/music/Info/RRTuneBk/search/searchform.htmlThe site triggered no security alarms, and has no ads.
Search for a sequence of notes
This understands "note names" as used in ABC - ie, "ABCDEFGabcdefg", optionally preceeded by "^" for sharp or "_" for flat and followed by , or ' for octaves. Everything else will be ignored.
The search is not dependent on key - it matches all tunes containing the given sequence of intervals. It pays no attention to note lengths, you can't use it to match a rhythmic pattern.
All these conditions are additive (boolean AND) - the tunes listed will be those for which all the conditions you have specified are true.