I'm unclear on what Clubman means too - do you mean you are skeptical about the comment concerning asylum seekers leaving a buggy at a bus-stop or skeptical about the lone parents receiving taxi vouchers?
I'm not sure about the lone parents and taxi voucher issue. I would doubt very much that this occurred but then again Butter Vouchers were distributed at one time so I may be wrong. I've passed this question to some contacts to find out more.
It's worth noting however that there are a range of ways in which service providers in Ireland provide services to their clients. In certain circumstances they have discretion in terms of how these services are delivered because of the needs of the clients involved.
There are a few scenarios that may be applicable in the case of the lone parent cited by the OP. She seems to me to have been in receipt of some type of either HSE payment (for example a Mobility Allowance) or some type of DSFA payment. Or, perhaps her or her child, etc. could have had a particular medical condition, that necessitated travel to hospital or to access other public services she was unable to afford?
About 15 or so years ago, a family member of mine was obliged to travel daily to Dublin for medical treatment. These 5+ hour round-trips were provided by taxi and funded by the HSE as there were no dialysis services in his region. The taxi vouchers he received had nothing to do with his status. They were provided by the HSE because he was availing of a service he was entitled to (and at that stage anyway he was too unwell to drive himself to access those services).
A taxi driving friend recently told me about collecting a 19 year old heroin addict and driving her to the dentist. She was having 7 permanent teeth removed. The cost of the taxi was covered by the HSE.
By the way, I don't believe that story of anyone (asylum seeker or otherwise) abandoning a buggy on the premise that they would simply 'receive another one the next day from welfare'. In my experience, Community Welfare Officers don't make out payments to people that easily.