As you noticed there are very few games in the database with this line. That's why it does not make much sense to speak of "more common"/"infrequent" response here.
The move 2. d5 is not good, but not so bad that you can expect to get a huge advantage as black soon. Basically it gives away the first move advantage and gives black an equal position for free. Generally, if your opponent plays an unusual move like this to which you don't see an immediate refutation, stay calm and make normal moves.
Problems with 2. d5 are:
- it neglects development (don't move a piece twice if you don't have to)
- it weakens the dark squares in the centre
- it does not do much; Typically a pawn push like this is meant to limit the opponents options. Here it prevents the knight going to c6, however the knight rarely wants to go to c6 in these kind of openings. Also black has not fixed the position of its central pawns so is free to attack the pawn at wish with c6, e6 ...
Your opening repertoire or your preference for closed vs open positions might influence your decision on how to respond to it.
If you are a King's Indian or Benoni player you could for instance transfer this to a main line King's Indian or Benoni. Or just go for a fianchetto on g7 first, trying to take advantage of the weakened dark squares and don't fix your central pawns yet.
If you don't mind unknown territory, 2 .. c6 seems like a good choice questioning the pawn immediately and giving you tactics with Qa5+ (and attack on d5) in some lines.
But any other continuation such as 2 ... e6, d6, e5, g6,.... can't be wrong either. I don't understand why you think that e5 was bad. The position you achieved seems quite normal to me.