Nothing to do with the estate agent, they just want to sell the house as quickly as possible as that's when they get paid...
The only thing the seller is required to do is to produce a HIP (Home Information Pack). This will give you some limited information on the property, such as information on what services are there (water/drainage/power etc), an energy efficiency report, and some information from the land registry. Any other survey / checks etc you want are up to you.
If your daughter is getting a mortgage, then normally the mortgage lender insists on having a valuation - you can normally pay a little extra to get the person doing the valuation to produce what's known as a homebuyers report - this does a fairly basic look, points out any urgent/major work that's required / likely to be required on the building (e.g. roof work etc), but won't test any services etc. It will often make recommendations about further checks that should be carried out, but a lot of these will be 'cover their a**e' things. If it's an old house (I think they normally say pre-1950s), the recommendation is to get a full structural survey done, but obviously this will cost quite a bit...
From the electrical side, in theory, assuming the property is in England or Wales then your daughter's solicitor/conveyancer should enquire to obtain building control completion certificates for any (notifiable) electrical work carried out since Part P came in to force (2004 sometime I think). If none are available, and it's obvious that work has been carried out recently (e.g. very recently new kitchen with new electrical bits etc), then I suspect you could probably get the sellers to pay (since strictly speaking they've broken the law if they did notifiable work without notifying it to the LABC...) to have an electrician do a PIR (Periodic Inspection Report), which will basically test everything that's there, and let you know any issues / things that need fixing.
If you're worried about anything on the electrics (particularly if the house still has a fuse board that uses rewireable fuses, rather than a modern consumer unit with MCBs/RCDs), then I would suggest getting a PIR done yourselves (you'd obviously have to negotiate this with the sellers, probably via the estate agent, but I can't see them objecting) - cost varies with area, but it shouldn't cost *that* much, and it will at least let you know if once you move in you're going to have to spend thousands getting the whole place rewired (so potentially gives you some ammunition to use against the sellers to get the price down).
