I'm a little late to answer, but I'd still like to post my suggestion.
First of all the structural formula indicates that the molecule only contains one unsaturation.
The 2H peak at 5.5 ppm also tells that the unsaturation is an alkene functionality.
The long range coupling through the double bond gives nice (but complex) splitting patterns.
Since the two protons in the methylene group are extremely similar in this case, the signals overlap.
I think it's an ABX system, which gives rise to second order effects ( the four tiny surrounding peaks at 5.5 ppm).
Furthermore, the broad signal at 4.7 ppm indicates the presence of an alcohol functionality.
There is also a CH
2-CH
2- fragment present, corresponding to the triplet at 1.1 ppm.
Finally, a HO-CH
2-CH
2- fragment is present, judging from the triplet at 3.5 ppm.
This is what the structure looks like when the fragments are put together logically.